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$\int\frac{x+3}{x-5}dx$
Learn how to solve integral calculus problems step by step online. Simplify the expression f(x)=(x+3)/(x-5). Find the integral. Expand the fraction \frac{x+3}{x-5} into 2 simpler fractions with common denominator x-5. Expand the integral \int\left(\frac{x}{x-5}+\frac{3}{x-5}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\frac{x}{x-5}dx results in: x-5+5\ln\left(x-5\right).