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$\int i\sqrt{\frac{nx-1}{x+1}}dx$
Learn how to solve integral calculus problems step by step online. Find the integral of y=i((nx-1)/(x+1))^1/2. Find the integral. Simplify the expression inside the integral. The integral of a function times a constant (i) is equal to the constant times the integral of the function. We can solve the integral \int\frac{1}{\sqrt{x+1}}dx by applying integration by substitution method (also called U-Substitution). First, we must identify a section within the integral with a new variable (let's call it u), which when substituted makes the integral easier. We see that x+1 it's a good candidate for substitution. Let's define a variable u and assign it to the choosen part.