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The value of int(-pi)^(pi) sin^(3) x cos...

The value of `int_(-pi)^(pi) sin^(3) x cos^(2) ` x dx is equal to

A

1

B

2

C

3

D

0

Text Solution

Verified by Experts

The correct Answer is:
D
Let `f(x)=sin^(3)x cos^(2)x`
`f(-x)=-sin^(3)xcos^(2)x=-f(x)`
`rArr (f(x))` is an odd function
`therefore " " int_(-pi)^(pi)sin^(3)x cos^(2)x dx = 0`
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