f(x)=int0^x(e^t-1)(t-1)(sint-cost)sin t ...

`f(x)=int_0^x(e^t-1)(t-1)(sint-cost)sin t dt ,AAx in (-pi/2, 2pi),` then `f(x)` is decreasing in :

A

`(-pi/2,0) cup (pi/4,1) cup (pi,pi/4)`

B

`(-pi/2,pi/4) cup (1, pi) cup ((5pi)/(4), 2pi)`

C

`(pi/4,1) cup (pi,(5pi)/(4))`

D

`(0,pi/4) cup (1, pi) cup ((5pi)/(4), 2pi)`

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The correct Answer is:

D

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