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Integrate the following int_0^1x^7/sqrt(1-x^2)dx |
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Answer» Solution :`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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