The value of _ -a ^ a [ ^ -1 x- ^ -1 1-x^ 2 ] d x , (a > 0) where _ i ^ a ^ -1 x d x=A is
Mathematics · JEE Main · NTA Exams — Integral Calculus
The value of \(\int_{-a}^{a}\left[\cos ^{-1} x-\sin ^{-1} \sqrt{1-x^{2}}\right] d x\), (a > 0)
\(\text { where } \int_{i}^{a} \cos ^{-1} x d x=A\) is
- \(\pi \mathrm{Tra}-\mathrm{A}\)
- \(\pi \mathrm{Tr}+2 \mathrm{~A}\)
- \(\text { TRa - 2A }\)
- \(\pi \mathrm{m}+\mathrm{A}\)
Answer
(C) TRa - 2A
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