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Integrate the following int0^1x^7/sqrt(1...

Integrate the following `int_0^1x^7/sqrt(1-x^2)dx`

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`int_0^1x^7/sqrt(1-x^2)dx`
=`int_0^(pi/2)(sin^7theta.costhetad theta)/costheta (where `x=sintheta`
`rArr dx=costhetad theta`)
=`int_0^(pi/2)sin^7thetad theta=6/7 . 4/5 . 2/3=(48)/105`
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