AP EAMCET · Maths · Indefinite Integration
\(\int \frac{d x}{\sqrt{7-6 x-x^2}}\) is equal to
- A \(\sinh ^{-1}\left(\frac{x+3}{4}\right)+c\)
- B \(\log \left|\frac{x+3}{4}\right|+c\)
- C \(\sin ^{-1}\left(\frac{x+3}{4}\right)+c\)
- D \(\frac{1}{2} \sin ^{-1}\left(\frac{x+3}{4}\right)+c\)
Answer & Solution
Correct Answer
(C) \(\sin ^{-1}\left(\frac{x+3}{4}\right)+c\)
Step-by-step Solution
Detailed explanation
\(I=\int \frac{d x}{\sqrt{7-6 x-x^2}}\)…
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