Indefinite Integral – A quotient of functions with roots – Exercise 1392

Exercise

Evaluate the integral

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

Final Answer


1x+1xdx=23(x+1)32+23x32+c\int \frac{1}{\sqrt{x+1}-\sqrt{x}} dx=\frac{2}{3}{(x+1)}^{\frac{3}{2}} +\frac{2}{3}x^{\frac{3}{2}} +c

Solution

Coming soon…

Share with Friends

Leave a Reply