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$\int i\sqrt{\frac{nx-1}{x+1}}dx$
Learn how to solve integral calculus problems step by step online. Solve the rational equation y=i((nx-1)/(x+1))^1/2. Find the integral. Simplify the expression inside the integral. Rewrite the fraction \frac{i}{\sqrt{x+1}} inside the integral as the product of two functions: i\frac{1}{\sqrt{x+1}}. We can solve the integral \int i\frac{1}{\sqrt{x+1}}dx by applying integration by parts method to calculate the integral of the product of two functions, using the following formula.