Evaluate the integral - -sin-1-x - cos-1-xsin-1-x - cos-1-x dx-

I=sin^ 1√(x)[ 2(2x 1)π]+ 2 √(x x^2)π x+ C_1 #160; ...

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First Fundamental Theorem of Calculus

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Question

Evaluate the integral : $\int \frac{{sin}^{- 1} \sqrt{x} - {cos}^{- 1} \sqrt{x}}{{sin}^{- 1} \sqrt{x} + {cos}^{- 1} \sqrt{x}} d x$ .

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