(x- 1 x )^ 3 d x,(x>0) equals
Mathematics · JEE Main · NTA Exams — Integral Calculus
\(\int\left(x-\frac{1}{x}\right)^{3} d x,(x>0) \text { equals }\)
- \(\frac{-}{3}-\frac{3}{2} x+3 \log x+\frac{1}{}+C\)
- \(\frac{x^{4}}{4}-\frac{3}{2} x^{2}+3 \log x+\frac{1}{2 x^{2}}+C\)
- \(\frac{x^{4}}{4}+3 \log x+\frac{1}{2 x^{2}}+C\)
- none of these
Answer
(B) x^ 4 4 - 3 2 x^ 2 +3 x+ 1 2 x^ 2 +C
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