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Indefinite Integral – A quotient of functions with a root – Exercise 1398

Exercise

Evaluate the integral

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

Final Answer


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

Solution

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