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Chapter 7 Integrals Ex 7.2 Solutions

Question - 1 : -

Answer - 1 : - Let = t

∴2x dx = dt

Question - 2 : -

Answer - 2 : -

Let log |x| = t

∴ 

Question - 3 : -

Answer - 3 : -

Let 1 + log x = t
∴

Question - 4 : -

sin x ⋅ sin (cos x)

Answer - 4 : -

sin x ⋅ sin (cos x)

Let cos x = t

∴ −sin x dx = dt

Question - 5 : -

Answer - 5 : -

Let 

∴ 2adx = dt

Question - 6 : -

Answer - 6 : -

Let ax + b = t

⇒ adx = dt

Question - 7 : -

Answer - 7 : - Let 

∴ dx = dt

Question - 8 : -

Answer - 8 : -

Let 1 + 2x2 = t

∴ 4xdx = dt

Question - 9 : -

Answer - 9 : - Let 

∴ (2x + 1)dx = dt

Question - 10 : -

Answer - 10 : -

Let 

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