Correct option is 3-(1+x5)15x+c

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

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-(1+x5)155x+c

(1+x5)155x+c

-(1+x5)15x+c

(1+x5)15x+c

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detailed solution

Correct option is C

I=∫dxx21+x545 = ∫dxx61x5+145 Let t=1+1x5⇒dt=−5dxx6∴I=−15∫dtt4/5 =−t1/5+C =−1+1x515+C =−x5+115x+C

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∫dxx2(1+x5)45=

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