[x^ 4 -x ]^ 1 / 4 x^ 5 dx is equal to

Mathematics · JEE Main · NTA Exams — Integral Calculus

1. \(\frac{4}{15}\left(1+\frac{1}{x^{3}}\right)^{5 / 4}+c\)
2. \(\frac{4}{15}\left(1-\frac{1}{x^{3}}\right)^{5 / 4}+c\)
3. \(\frac{15}{4}\left(1+\frac{1}{x^{3}}\right)^{5 / 4}+c\)
4. None of the above

Answer

(A) 4 15 (1+ 1 x^ 3 )^ 5 / 4 +c

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