NCERT Solutions for Class 12 – Maths – Chapter 7- Exercise 7.2 – Integrals – Integration by Substitution

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NCERT Solutions for Class 12 Mathematics Chapter 7 Exercise 7.2 (Integrals) are given below.

Integration is an inverse process of differentiation. So integration is also known as anti-differentiation.

The solutions are given in simple steps.

A symbol ∫ represents integrals and C represents the integration constant.

All functions are not differentiable. Similarly, all functions are not integrable.

When a polynomial function P is differentiated, the result is a polynomial whose degree is 1 less than the degree of P. When a polynomial function P is integrated, the result is a polynomial whose degree is 1 more than P.

The derivative is used for finding some physical quantities like the velocity of a moving particle when the distance traversed at any time t is known. Similarly, the integral is used in calculating the distance traversed when the velocity at time t is known.

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NCERT Solutions – Class 12 – Mathematics – Integrals – Chapter 7 – Exercise 7.2 – Integration by Substitution

 

XII M NCERT Integrals Exercise 7.2 (1) XII M NCERT Integrals Exercise 7.2 (2) XII M NCERT Integrals Exercise 7.2 (3) XII M NCERT Integrals Exercise 7.2 (4) XII M NCERT Integrals Exercise 7.2 (5) XII M NCERT Integrals Exercise 7.2 (6) XII M NCERT Integrals Exercise 7.2 (7) XII M NCERT Integrals Exercise 7.2 (8) XII M NCERT Integrals Exercise 7.2 (9)

 

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