^ -1 x 1-x d x equals
Mathematics · JEE Main · NTA Exams — Integral Calculus
\(\int \frac{\sin ^{-1} \sqrt{x}}{\sqrt{1-x}} d x \text { equals }\)
- \(2\left[\sqrt{x}-\sqrt{1-x} \sin ^{-1} \sqrt{x}\right]+c\)
- \(2\left[\sqrt{x}+\sqrt{1-x} \sin ^{-1} \sqrt{x}\right]+c\)
- \(\left[\sqrt{x}-\sqrt{1-x} \sin ^{-1} \sqrt{x}\right]+c\)
- none of these
Answer
(A) 2 [ x - 1-x ^ -1 x ]+c
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