Questions

$\int \frac{d x}{x^{\frac{1}{5}} {(4 + x^{\frac{4}{5}})}^{\frac{1}{2}}}$

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1+x4/5+c

521+x4/5+c

x4/5(1+x4/5)1/2+c

251+x4/5+c

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detailed solution

Correct option is B

∫dxx154+x4512 =∫5dt4t12 Let 4+x45=t⇒4/5x1/5dx=dt =54t×2+C =52×1+x4512+C

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