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The value of int(-pi/2)^(pi/2) ((1+sin...

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

A

`(5pi)/4`

B

`(3pi)/4`

C

`(pi)/2`

D

`(3pi)/2`

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Knowledge Check

  • int_(-pi//2)^(pi//2) (pi^(sin x))/(1+ pi^(sin x))dx =

    A
    0
    B
    `pi//4`
    C
    `pi//2`
    D
    `pi`

  • 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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