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The value of the integral int0^(pi//2) (...

The value of the integral `int_0^(pi//2) (sin^(100) x - cos^(100) x) dx` is :

A

`(100!)/((100)^(10))`

B

`1/(100)`

C

0

D

`pi/100`

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • int_0^(pi/4) (sin^(100)x-cos ^(100)x ) dx =

    A
    `(100!)/((100)^(100)`
    B
    1/100
    C
    0
    D
    `pi/100`

  • int_0^(pi/2) sin^(2)x dx =

    A
    `pi`
    B
    `pi/3 `
    C
    `pi/2`
    D
    `pi/4`

  • The value of the integral int_0^pi (x sin^(2n) x)/(sin^(2n) x + cos^(2n) x)dx is :

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

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