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The value of int(-pi//4)^(pi//4) x^(3) ...

The value of ` int_(-pi//4)^(pi//4) x^(3) sin^(4) x dx ` is equal to

A

`pi/4`

B

`pi/2`

C

`pi/8`

D

0

Text Solution

Verified by Experts

The correct Answer is:
D
We have, `int_(-pi//4)^(pi//2)x^(2) sin^(4) xdx`
` f(x) =x^(3) sin^(4) x`
` f(-x)=-x^(3) sin^(4) x = -f(x)`
f(x) is odd function
` therefore int_(-pi//4)^(pi//4) x^(3) sin^(4) xdx =0`
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-PRACTICE SET 01-Paper 2 (Mathematics)
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