The value of \int \binom{x^{\frac{3}{2}}}/\sqrt{1 + x^{5}}dx is:

Correct Answer is : 25log⁡(x52+1+x5)+c

\frac{1}{2}\log ⁡ (\sqrt{1 + x^{5}) + c

\frac{2}{5}\log ⁡ (x^{\frac{5}{2}}−\sqrt{1 + x^{5}) + c

\frac{2}{5}\log ⁡ (x^{\frac{5}{2}} + \sqrt{1 + x^{5}) + c

\frac{1}{2}\log ⁡ ( {1 + x^{5}}/{1−x^{5}}) + c

AAI ATC Junior Executive 21 Feb 2023 Shift 2 Paper

Question : 93 of 120

Marks: +1, -0

The value of

∫ \;{x^{{3}/{2}}}/{√{1 + x^{5}}}dx

is:

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