Indefinite Integral – A quotient of functions with roots – Exercise 1392 Post category:Indefinite Integral Post comments:0 Comments Exercise Evaluate the integral ∫1x+1−xdx\int \frac{1}{\sqrt{x+1}-\sqrt{x}} dx∫x+1−x1dx Final Answer Show final answer ∫1x+1−xdx=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 ∫x+1−x1dx=32(x+1)23+32x23+c Solution Coming soon… Share with Friends Read more articles Previous PostIndefinite Integral – A quotient of functions with a root – Exercise 1396 Next PostIndefinite Integral – A rational function – Exercise 1387 You Might Also Like Indefinite Integral – A quotient of functions with ln function – Exercise 5403 May 17, 2019 Indefinite Integral – A rational function – Exercise 6393 July 8, 2019 Indefinite Integral – A polynomial to the power of a fraction – Exercise 6384 July 7, 2019 Indefinite Integral – A rational function – Exercise 6398 July 8, 2019 Indefinite Integral – A quotient of exponential functions – Exercise 6387 July 7, 2019 Indefinite Integral – A quotient of functions with roots – Exercise 6605 July 16, 2019 Leave a Reply Cancel replyCommentEnter your name or username to comment Enter your email address to comment Enter your website URL (optional) Δ