# 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

Coming soon…

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