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The value of the integral int (0) ^(pi/2...

The value of the integral `int _(0) ^(pi/2) (cos x )/( 1 + sin ^(2) x ) dx ` is

A

a) 0

B

b) 1

C

c) `(pi)/(2)`

D

d) `pi/4`

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Knowledge Check

  • int_(0)^(pi//2) (sin 2x )/( 1 + 2 cos^(2) x) dx is equal to

    A
    `(1)/(2) log 2`
    B
    `log 2`
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    `(1)/(2) log 3`
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    A
    `pi sqrt2`
    B
    `pi ( sqrt2 -1)`
    C
    `(pi)/(2) (sqrt2 +1)`
    D
    `2pi (sqrt2 -1)`

  • The value of the definite integral int_(0)^(pi//2)(sin5x)/(sinx)dx is

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    0
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    `pi/2`
    C
    `pi`
    D
    `2pi`

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