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$\int\left(\frac{1}{y^2-y}+\frac{2y+1}{y^2-1}+\frac{y}{y+1}\right)dy$
Learn how to solve integral calculus problems step by step online. Integrate the function 1/(y^2-y)+(2y+1)/(y^2-1)y/(y+1). Find the integral. Expand the integral \int\left(\frac{1}{y^2-y}+\frac{2y+1}{y^2-1}+\frac{y}{y+1}\right)dy into 3 integrals using the sum rule for integrals, to then solve each integral separately. Rewrite the fraction \frac{y}{y+1} inside the integral as the product of two functions: y\frac{1}{y+1}. We can solve the integral \int y\frac{1}{y+1}dy by applying integration by parts method to calculate the integral of the product of two functions, using the following formula.