x^2 1-x^6 d x=____ - Vidyadip

MCQ

$\int \frac{x^2}{\sqrt{1-x^6}} d x=$____

A
$-\sin ^{-1}\left(x^3\right)+c$
B
$\cos ^{-1}\left(x^3\right)+c$
C
$\sin ^{-1}\left(x^3\right)+c$
✓
$\frac{1}{3} \sin ^{-1}\left(x^3\right)+ c$

✓

Answer

Correct option: D.

$\frac{1}{3} \sin ^{-1}\left(x^3\right)+ c$

$\frac{1}{3} \sin ^{-1}\left(x^3\right)+ c$

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