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Indefinite Integral – A quotient of functions with a root – Exercise 1396

Exercise

Evaluate the integral

\int \frac{x}{\sqrt{x+1}-1} dx

Final Answer


\int \frac{x}{\sqrt{x+1}-1} dx=\frac{2}{3}{(x+1)}^{\frac{3}{2}} +x+c

Solution

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