Mathematics

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

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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One Word Medium Published on 17th 09, 2020
Questions 203525
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