Hi, any ideas with this one? $\displaystyle \int \sqrt{\frac{x+5}{x-5}} dx$
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Have you tried the substitution $\displaystyle t=\frac{x+5}{x-5}$?
Originally Posted by sjmiller Hi, any ideas with this one? $\displaystyle \int \sqrt{\frac{x+5}{x-5}} dx$ $\displaystyle \int \sqrt{\frac{x+5}{x-5}} dx=\int\frac{x+5}{\sqrt{x^2-25}}dx$ $\displaystyle =\int\left(\frac{x}{\sqrt{x^2-25}}+\frac{5}{\sqrt{x^2-25}}\right)dx$ Now can you proceed?
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