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The value of the integral int(-pi//2)^...

The value of the integral
`int_(-pi//2)^(pi//2)(sin^(2)x)/(1+e^(x))dx`
is

A

`(pi)/(6) `

B

`(pi)/(4)`

C

`(pi)/(2)`

D

`(pi^2)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
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Knowledge Check

  • The value of the integral int_(-pi//2)^(pi//2) sqrt((1+cos^(2)x)/(2))dx is

    A
    -2
    B
    2
    C
    0
    D
    -3

  • The value of int_(-pi//2)^(pi//2)(sin^(2)x)/(1+2^(x))dx is

    A
    `pi//4`
    B
    `pi//8`
    C
    `pi//2`
    D
    `4pi`

  • The value of int_(-pi//2)^(pi//2)(sin^(2)x)/(1+2^(x)) dx is

    A
    `(pi)/(8)`
    B
    `(pi)/(2)`
    C
    `4pi`
    D
    `(pi)/(4)`

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