The integral d x x^ 2 (x^ 4 +1 )^ 3 / 4 equals:
Mathematics · JEE Main · NTA Exams — Integral Calculus
The integral \(\int \frac{d x}{x^{2}\left(x^{4}+1\right)^{3 / 4}}\) equals:
- \(\left(\frac{x^{4}+1}{x^{4}}\right)^{1 / 4}\)
- \(\left(x^{4}+1\right)^{1 / 4}+c\)
- \(-\left(x^{4}+1\right)^{1 / 4}+c\)
- \(-\left(\frac{x^{4}+1}{x^{4}}\right)^{1 / 4}+c\)
Answer
(D) - ( x^ 4 +1 x^ 4 )^ 1 / 4 +c
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