Mathematics

$$\int ({\sin^{-1} \sqrt x+ \cos^{-1} \sqrt x})dx=\dfrac{\pi x}{m}$$.Find $$m$$


ANSWER

2


SOLUTION
$$\int(\sin^{-1}\sqrt x+\cos^{-1}\sqrt x)dx$$
$$=\int(\cfrac{\pi}{2})dx$$
$$=\cfrac{\pi}{2}x$$
Hence, $$m=2$$

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