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Evaluate the following : int(0)^((pi)...

Evaluate the following `:`
`int_(0)^((pi)/(2)) sin^(10)xdx `

Text Solution

Verified by Experts

The correct Answer is:
`(63pi)/( 512)`
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Knowledge Check

  • int_(0)^((pi)/(2)) sin^7 xdx is :

    A
    `(7)/(12)`
    B
    `(15)/(6)`
    C
    `(16)/(35)`
    D
    `(16)/(12)`

  • int_(0)^((pi)/(2))sin^5 xdx= .

    A
    `(16)/(15)`
    B
    `(4)/(15)`
    C
    `(8)/(15)`
    D
    `(2)/(15)`.

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