मूल्यांकन कीजिएः
`int_(0)^(pi//2) e^(x)(sin x-cos x)dx`

Explanation

`underset(0)overset(pi//2)int e^(x)(sin x-cos x)dx`
`=-underset(0)overset(pi//2)int e^(x)(cos x-sin x)dx`
`=-underset(0)overset(pi//2)int e^(x)[cos x+(-sin x)]dx`
माना f(x)=cos x तब f'(x)=-sin x
चूकि `inte^(x) [f(x)+f'(x)dx=e^(x)f(x)+C`