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Chapter 7 Integrals Ex 7.2 Solutions

Question - 31 : -

Answer - 31 : -

Let sin x +cos x = t ⇒ (cos x − sin x) dx = dt

Question - 32 : -

Answer - 32 : -

Put cos x −sin x = t ⇒ (−sin x − cos x) dx = dt

Question - 33 : -

Answer - 33 : -

Question - 34 : -

Answer - 34 : -

Let 1 + log x = t

∴ 

Question - 35 : -

Answer - 35 : -

Let 

Question - 36 : -

Answer - 36 : -

Let x4 = t

∴ 4x3 dx = dt

Let 

From (1), we obtain

Question - 37 : - equals

Answer - 37 : - Let 

∴ 

Hence, the correct answeris D.

Question - 38 : - equals
A.            B. 
C                D 

Answer - 38 : -

Hence, the correct answeris B.

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