12th Maths Miscellaneous Exercise 7 Solutions || विविध प्रश्नावली कक्षा 12 समाकलन || que. 6or 9 ||

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Chapter 1 Relations and Functions,

Chapter 2 Inverse Trigonometric Functions,

Chapter 3 Matrices,

Chapter 4 Determinants,

Chapter 5 Continuity and Differentiability,

Chapter 6 Application of Derivatives,

Chapter 7 Integrals Ex 7.1,

Chapter 8 Application of Integrals,

Chapter 9 Differential Equations,

Chapter 10 Vector Algebra,

Chapter 11 Three Dimensional Geometry,

Chapter 12 Linear Programming,

Chapter 13 Probability Ex 13.1,

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7.1 Introduction

7.2 Integration as an Inverse Process of Differentiation

7.2.1 Geometrical interpretation of indefinite integral

7.2.2 Some properties of indefinite integral

7.2.3 Comparison between differentiation and integration

7.3 Methods of Integration

7.3.1 Integration by substitution

7.3.2 Integration using trigonometric identities

7.4 Integrals of Some Particular Functions

7.5 Integration by Partial Fractions

7.6 Integration by Parts

7.6.1 Integral of the type  ∫  [f( x ) f ’( x ) ] dx

7.6.2 Integrals of some more types

7.7 Definite Integral

7.7.1 Definite integral as the limit of a sum

7.8 Fundamental Theorem of Calculus:

7.8.1 Area function

7.8.2 First fundamental theorem of the integral calculus

7.8.3 Second fundamental theorem of the integral calculus

7.9 Evaluation of Definite Integrals by Substitution

7.10 Some Properties of Definite Integrals