int(-(3pi)/2)^(-pi/2) {(pi+x)^3+cos^2(x+...

`int_(-(3pi)/2)^(-pi/2) {(pi+x)^3+cos^2(x+3pi)}dx` is equal to
(A) `pi/4-1` (B) `pi^4/32` (C) `pi^4/32+pi/2` (D) `pi/2`

A

`(pi^(4))/32`

B

`(pi^(4))/32+(pi)/2`

C

`(pi)/2`

D

`(pi)/4-1`

Verified by Experts

The correct Answer is:

C

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