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1.Relations and Functions
5-
Cartesian Product of Sets, Relation, Domain, Range, Inverse of Relation, Types of Relations 34 minLecture1.1
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Functions, Intervals 39 minLecture1.2
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Domain 01 minLecture1.3
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Problem Based on finding Domain and Range 39 minLecture1.4
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Types of Real function 31 minLecture1.5
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2.Inverse Trigonometric Functions
8-
Introduction to Inverse Trigonometry Function, Range, Domain, Question based on Principal Value 37 minLecture2.1
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Property -1 of Inverse trigo function 28 minLecture2.2
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Property -2 to 4 of Inverse trigo function 48 minLecture2.3
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Questions based on properties of Inverse trigo function 19 minLecture2.4
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Question based on useful substitution 27 minLecture2.5
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Numerical problems 19 minLecture2.6
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Numerical problems 24 minLecture2.7
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Numerical problems , introduction to Differentiation 44 minLecture2.8
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3.Matrices
7-
What is matrix 26 minLecture3.1
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Types of matrix 28 minLecture3.2
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Operations of matrices 28 minLecture3.3
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Multiplication of matrices 29 minLecture3.4
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Properties of a matrices 44 minLecture3.5
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Solution of simultaneous linear equation 28 minLecture3.6
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Numerical problems 19 minLecture3.7
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4.Determinants
5-
Introduction of Determinants 23 minLecture4.1
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Properties of Determinants 29 minLecture4.2
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Numerical problems 15 minLecture4.3
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Numerical problems 16 minLecture4.4
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Applications of Determinants 17 minLecture4.5
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5.Continuity
6-
Introduction to continuity 28 minLecture5.1
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Numerical problems 17 minLecture5.2
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Numerical problems 22 minLecture5.3
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Basics of continuity 26 minLecture5.4
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Numerical problems 17 minLecture5.5
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Numerical problems 11 minLecture5.6
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6.Differentiation
13-
Introduction to Differentiation 27 minLecture6.1
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Important formula’s 29 minLecture6.2
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Numerical problems 29 minLecture6.3
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Numerical problems 31 minLecture6.4
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Differentiation by using trigonometric substitution 21 minLecture6.5
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Differentiation of implicit function 21 minLecture6.6
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Differentiation of logarthmetic function 31 minLecture6.7
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Differentiation of log function 25 minLecture6.8
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Infinite series & parametric function 26 minLecture6.9
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Infinite series & parametric function 27 minLecture6.10
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Higher order derivatives 27 minLecture6.11
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Differentiation of function of a function 16 minLecture6.12
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Numerical problems 27 minLecture6.13
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7.Mean Value Theorem
4-
Lagrange theorem 24 minLecture7.1
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Rolle’s theorem 20 minLecture7.2
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Lagrange theorem 24 minLecture7.3
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Rolle’s theorem 20 minLecture7.4
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8.Applications of Derivatives
4-
Rate of change of Quantities 30 minLecture8.1
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Rate of change of Quantities 18 minLecture8.2
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Rate of change of Quantities 18 minLecture8.3
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Approximation 10 minLecture8.4
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9.Increasing and Decreasing Function
5-
Introduction 36 minLecture9.1
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Numerical Problem 26 minLecture9.2
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Numerical Problem 22 minLecture9.3
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Numerical Problem 22 minLecture9.4
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Numerical Problem 21 minLecture9.5
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10.Tangents and Normal
3-
Introduction 34 minLecture10.1
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Numerical Problems 32 minLecture10.2
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Angle of intersection of two curves 27 minLecture10.3
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11.Maxima and Minima
9-
Introduction 28 minLecture11.1
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Local maxima & Local Minima 27 minLecture11.2
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Numerical Problems 37 minLecture11.3
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Maximum & minimum value in closed interval 19 minLecture11.4
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Application of Maxima & Minima 10 minLecture11.5
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Application of Maxima & Minima 14 minLecture11.6
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Numerical problems 04 minLecture11.7
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Numerical Problems 18 minLecture11.8
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Numerical Problems 17 minLecture11.9
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12.Integrations
17-
Introduction to Indefinite Integration 37 minLecture12.1
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Integration by substitution 25 minLecture12.2
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Numerical problems on Substitution 39 minLecture12.3
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Numerical problems on Substitution 04 minLecture12.4
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Integration various types of particular function (Identities) 31 minLecture12.5
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Integration by parts-1 18 minLecture12.6
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Integration by parts-2 10 minLecture12.7
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Integration by parts-2 16 minLecture12.8
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Integration by parts-2 08 minLecture12.9
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ILATE Rule 12 minLecture12.10
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Integration of some special function 07 minLecture12.11
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Integration of some special function 06 minLecture12.12
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Integration by substitution using trigonometric 14 minLecture12.13
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Evaluation of some specific Integration 12 minLecture12.14
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Evaluation of some specific Integration 29 minLecture12.15
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Integration by partial fraction 27 minLecture12.16
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Integration of some special function 11 minLecture12.17
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13.Definite Integrals
10-
Introduction 24 minLecture13.1
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Properties of Definite Integration 19 minLecture13.2
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Numerical problem based on properties 22 minLecture13.3
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Area under the curve 16 minLecture13.4
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Area under the curve (Ellipse) 20 minLecture13.5
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Area under the curve (Parabola) 10 minLecture13.6
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Area under the curve (Parabola & Circle) 40 minLecture13.7
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Area bounded by lines 10 minLecture13.8
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Numerical Problems 15 minLecture13.9
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Area under the curve (Circle ) 02 minLecture13.10
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14.Differential Equations
5-
Introduction to chapter 38 minLecture14.1
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Solution of D.E. – Variable separation methods 14 minLecture14.2
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Solution of D.E. – Variable separation methods 27 minLecture14.3
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Solution of D.E. – Second order 21 minLecture14.4
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Homogeneous D.E. 31 minLecture14.5
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15.Vectors
10-
Introduction , Basic concepts , types of vector 34 minLecture15.1
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Position vector, distance between two points, section formula 44 minLecture15.2
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Numerical problem 02 minLecture15.3
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collinearity of points and coplanarity of vector 34 minLecture15.4
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Direction cosine 18 minLecture15.5
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Projection , Dot product, Cauchy- Schwarz inequality 24 minLecture15.6
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Numerical problem (dot product) 20 minLecture15.7
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Vector (Cross) product , Lagrange’s Identity 15 minLecture15.8
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Numerical problem (cross product) 38 minLecture15.9
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Numerical problem (cross product) 06 minLecture15.10
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16.Three Dimensional Geometry
6-
Introduction to 3D, axis in 3D, plane in 3D, Distance between two points 32 minLecture16.1
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Numerical problems , section formula , centroid of a triangle 35 minLecture16.2
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projection , angle between two lines 40 minLecture16.3
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Numerical Problem based on Direction ratio & cosine 02 minLecture16.4
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locus of any point 15 minLecture16.5
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Numerical Problem based on locus 16 minLecture16.6
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17.Direction Cosine
2-
Introduction 34 minLecture17.1
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Angle Between two vectors 25 minLecture17.2
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18.Plane
3-
Introduction to plane , general equation of a plane , normal form 31 minLecture18.1
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Angle between two planes 30 minLecture18.2
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Distance of a point from a plane 29 minLecture18.3
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19.Straight Lines
7-
Introduction to straight line , symmetric form , Angle between the lines 27 minLecture19.1
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Numerical Problem 18 minLecture19.2
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Angle between two lines 32 minLecture19.3
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Unsymmetric form of Line 26 minLecture19.4
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Numerical problem , perpendicular distance of a point from a line 22 minLecture19.5
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Numerical Problem 21 minLecture19.6
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Numerical problem , Condition for a line lie on a plane 26 minLecture19.7
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20.Straight Lines (Vector)
4-
Vector and Cartesian equation of a straight line 27 minLecture20.1
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Angle between two straight line 25 minLecture20.2
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Numerical problems 37 minLecture20.3
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Shortest Distance between two lines 22 minLecture20.4
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21.Linear Programming
4-
Introduction to L.P. 30 minLecture21.1
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Numerical Problems 43 minLecture21.2
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Numerical Problems 23 minLecture21.3
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Numerical Problems 14 minLecture21.4
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22.Probability
22-
Introduction to probability 41 minLecture22.1
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Types of events 42 minLecture22.2
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Numerical problems 30 minLecture22.3
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Conditional probability 12 minLecture22.4
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Numerical problems 09 minLecture22.5
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Numerical problems (conditional Probability) 04 minLecture22.6
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Numerical problems (conditional Probability) 06 minLecture22.7
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Numerical problems (conditional Probability) 05 minLecture22.8
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Numerical problems (conditional Probability) 06 minLecture22.9
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Bayes’ Theorem 17 minLecture22.10
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Numerical problem ( conditional Probability) 04 minLecture22.11
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Numerical problem ( Baye’s Theorem) 19 minLecture22.12
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Numerical problem ( Baye’s Theorem) 18 minLecture22.13
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Numerical problem ( Baye’s Theorem) 10 minLecture22.14
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Mean and Variance of a random variable 09 minLecture22.15
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Mean and Variance of a random variable 09 minLecture22.16
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Mean and Variance of a random variable 08 minLecture22.17
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Mean and Variance of a discrete random variable 07 minLecture22.18
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Numerical problem 18 minLecture22.19
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Bernoulli’s Trials & Binomial Distribution 11 minLecture22.20
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Numerical problem 12 minLecture22.21
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Mean and Variance of Binomial Distribution 05 minLecture22.22
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23.Limits
4-
Introduction to limits 35 minLecture23.1
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Numerical problems 27 minLecture23.2
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Rationalization 33 minLecture23.3
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Limits in trigonometry 29 minLecture23.4
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24.Partial Fractions
4-
Introduction to partial fraction 27 minLecture24.1
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Partial Fractions 02 29 minLecture24.2
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Partial Fractions 03 17 minLecture24.3
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Improper partial fraction 20 minLecture24.4
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Lagrange theorem