If d x (x^ 2 -4 ) x+1 = 1 k | x+1 - 3 x+1 + 3 | - 1 2 ^ -1 x+1 +c then k equals
Mathematics · JEE Advanced · NTA Exams — Integral Calculus
If \[\int \frac{d x}{\left(x^{2}-4\right) \sqrt{x+1}}=\frac{1}{k} \log \left|\frac{\sqrt{x+1}-\sqrt{3}}{\sqrt{x+1}+\sqrt{3}}\right|\]
\(-\frac{1}{2} \tan ^{-1} \sqrt{x+1}+c\) then k equals
\(-\frac{1}{2} \tan ^{-1} \sqrt{x+1}+c\) then k equals
- \(2 \sqrt{3}\)
- \(4 \sqrt{3}\)
- \(\frac{1}{4 \sqrt{3}}\)
- none of these
Answer
(B) 4 3
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