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∫0sin2(x)sin−1(t) dt +∫0cos2(x)cos−1(t) dt=πc\large\int_{0}^{\sin^2 (x)}{\sin^{-1} \left( \sqrt t \right)}\,dt\ + \large\int_{0}^{\cos^2 (x)}{\cos^{-1} \left( \sqrt t \right)}\,dt=\dfrac{\pi}{c} ∫0sin2(x)sin−1(t)dt +∫0cos2(x)cos−1(t)dt=cπ
The equation above holds true for some positive integer ccc. Find ccc.
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