Q. 364.5( 2 Votes )

Evaluate the foll

Answer :

Let


We will use integration by parts.


Recall,



Here, take f(x) = x2 and g(x) = sin x



Now,



f’(x) = 2x


Substituting these values, we evaluate the integral.




Let


We use integration by parts again.


Here, take f(x) = x and g(x) = cos x



Now,


f’(x) = 1


Using these values in equation for I1





Substituting I1 in I, we get





I = (0 + π + 0) – (2)


I = π – 2



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