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$\int\left(2+\frac{x+1}{x-2}\right)dx$
Learn how to solve integral calculus problems step by step online. Find the integral of 2+(x+1)/(x-2). Find the integral. Expand the integral \int\left(2+\frac{x+1}{x-2}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int2dx results in: 2x. The integral \int\frac{x+1}{x-2}dx results in: x-2+2\ln\left(x-2\right)+\ln\left(x-2\right).