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$\int\left(\frac{x+1}{x}\right)^2dx$
Learn how to solve problems step by step online. Integrate the function ((x+1)/x)^2. Find the integral. The power of a quotient is equal to the quotient of the power of the numerator and denominator: \displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}. Rewrite the fraction \frac{\left(x+1\right)^2}{x^2} inside the integral as the product of two functions: \left(x+1\right)^2\frac{1}{x^2}. We can solve the integral \int\left(x+1\right)^2\frac{1}{x^2}dx by applying integration by parts method to calculate the integral of the product of two functions, using the following formula.