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The value of integral overset(pi)underse...

The value of integral `overset(pi)underset(-pi)int (cos ax-sin b x)^(2)dx`, where (a and b are integers), is

A

`-pi`

B

0

C

`pi`

D

`2pi`

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • The value of integral int_(-pi)^(pi) (cos ax-sin b x)^(2)dx , where (a and b are integers), is

    A
    `-pi`
    B
    0
    C
    `pi`
    D
    `2pi`

  • The value of the integral overset(pi)underset(0)int log(1+cos x)dx is

    A
    `(pi)/(2)log2`
    B
    `-pi log2`
    C
    `pi log2`
    D
    none of these

  • int_(-pi)^(pi) [cos px-sin qx]^(2) dx where p,q are integers is equal to

    A
    `-pi`
    B
    0
    C
    `pi`
    D
    `2pi`

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    The value of underset((-pi)/(2))overset((pi)/(2))(int) (1)/(1 + e^(sin x)) dx is :

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    The value of the integral int_(0)^(pi//2) |sin x-cos x|dx , is

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