🛠️ JEE➗ Maths

\(\int \frac{{x}^{5}dx}{\sqrt{\left(1+{x}^{3}\right)}}=\)

Q1

\(\int \frac{{x}^{5}dx}{\sqrt{\left(1+{x}^{3}\right)}}=\)

a

\(\frac{2}{3}\sqrt{\left(1+{x}^{3}\right)}\left({x}^{3}+2\right)+c\)

b

\(\frac{2}{9}\sqrt{\left(1+{x}^{3}\right)}\left({x}^{3}−4\right)+c\)

c

\(\frac{2}{9}\sqrt{\left(1+{x}^{3}\right)}\left({x}^{3}+4\right)+c\)

d

\(\frac{2}{9}\sqrt{\left(1+{x}^{3}\right)}\left({x}^{3}−2\right)+c\)

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