" 8."int(-1)^(1)(x sin^(-1)x)/(sqrt(1-x^...

" 8."int_(-1)^(1)(x sin^(-1)x)/(sqrt(1-x^(2)))dx

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int_(0)^(1)(x sin^(-1)x)/(sqrt(1-x^(2)))dx

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Show that int_(0)^(1//2)(x sin^(-1)x)/(sqrt(1-x^(2)))dx = (1)/(2)-(sqrt(3))/(12)pi

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