int(-pi//4)^(pi//2) e^(-x) sin x dx is ...

`int_(-pi//4)^(pi//2) e^(-x) ` sin x dx is equal to

A

(a) `-1/2e^((-pi)/2)`

B

(b) `-(sqrt(2))/2e^((-pi)/4)`

C

(c) `1/2(sqrt(2) e^((pi)/4)-e^((-pi)/2))`

D

(d) `0`

Verified by Experts

The correct Answer is:

A

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