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What is int(-pi/2)^(pi/2) x sinx dx equa...

What is `int_(-pi/2)^(pi/2) x sinx dx` equal to ?

A

0

B

2

C

-2

D

`pi`

Text Solution

Verified by Experts

The correct Answer is:
B
`int_(-(pi)/(2)) x sin x dx = 2int_(0)^(pi/2) x sinx dx`
{`x sin x` is an even function}
`= 2[-x cos x + sinx]_(0)^(pi/2) = 2`
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