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

Exercise

Evaluate the integral

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

Final Answer


xx+1dx=23(x+1)322(x+1)12+c\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…

Share with Friends

Leave a Reply