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OpenStudy (anonymous):
integral of arcsinx/squareroot(1-x^2)
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OpenStudy (lone001):
\[\int\limits\limits\limits_{}^{}arcsinx*dx/\sqrt{1-x ^{2}}=\left[ dx/\sqrt{1-x ^{2}}=d(arcsinx) \right]=\int\limits\limits\limits_{}^{}arcsinxd(arcsinx)=\arcsin ^{2}x/2\]
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