( x +1)- x x ( x +1) d x is equal to
Mathematics · JEE Main · NTA Exams — Integral Calculus
\(\int \frac{\log (\mathbf{x}+1)-\log \mathbf{x}}{\mathbf{x}(\mathbf{x}+1)} d \mathbf{x}\) is equal to
- \(-\frac{1}{2}\left[\log \left(\frac{x+1}{x}\right)\right]^{2}+\)
- \(C-\left[\{\log (x-1)\}^{2}-(\log x)^{2}\right]\)
- \(-\log \left[\log \left(\frac{x+1}{x}\right)\right]+c\)
- \(-\log \left(\frac{x+1}{x}\right)+c\)
Answer
(A) - 1 2 [ ( x+1 x ) ]^ 2 +
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