Evaluate I= ( a+x a-x + a-x a+x ) d x
Mathematics · JEE Advanced · NTA Exams — Integral Calculus
Evaluate \(I=\int\left(\sqrt{\frac{a+x}{a-x}}+\sqrt{\frac{a-x}{a+x}}\right) d x\)
- \(2 \sin ^{-1}\left(\frac{x}{a}\right)+c\)
- \(2 a \sin ^{-1}\left(\frac{x}{a}\right)+c\)
- \(2 \cos ^{-1}\left(\frac{x}{a}\right)+c\)
- \(2 a \cos ^{-1}\left(\frac{x}{a}\right)+c\)
Answer
(B) 2 a ^ -1 ( x a )+c
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