Indefinite integrals by Rationalizing substitution Questions with solutions

The list of questions on finding the indefinite integrals of irrational functions by rationalizing substitution method with worksheet for practice and examples with solutions to learn how to find the indefinite integration of irrational functions by rationalizing substation method.

Evaluate $\displaystyle \int{\dfrac{\sqrt{x}}{x+1}}\,dx$

Evaluate $\displaystyle \int{\dfrac{1}{\sqrt{x+1}-\sqrt[\Large 4]{x+1}}}\,dx$