TS EAMCET · Maths · Indefinite Integration
\(\int \sqrt{\frac{2+x}{2-x}} d x\) is equal to
- A \(2 \sin ^{-1}\left(\frac{x}{2}\right)+\sqrt{4-x^2}+C\)
- B \(\cos ^{-1}\left(\frac{x}{2}\right)-\sqrt{4-x^2}+C\)
- C \(\sin ^{-1}\left(\frac{x}{2}\right)-\sqrt{4-x^2}+C\)
- D \(2 \sin ^{-1}\left(\frac{x}{2}\right)-\sqrt{4-x^2}+C\)
Answer & Solution
Correct Answer
(D) \(2 \sin ^{-1}\left(\frac{x}{2}\right)-\sqrt{4-x^2}+C\)
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