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Question Number 66044 by rajesh4661kumar@gmail.com last updated on 08/Aug/19

Answered by Tanmay chaudhury last updated on 08/Aug/19

$$\int \frac{dx}{x^5{(1+\frac{1}{x^4})}^{\frac{3}{4}}}$$$$t=1+\frac{1}{x^4}\to dt=\frac{-4}{x^5}dx$$$$\int \frac{dt}{-4\times t^{\frac{3}{4}}}$$$$\frac{-1}{4}\times \frac{t^{\frac{-3}{4}+1}}{\frac{-3}{4}+1}+c$$$$(-1){(1+\frac{1}{x^4})}^{\frac{1}{4}}+c$$

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