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$\int\frac{x+1}{4-x}dx$
Learn how to solve integral calculus problems step by step online. Integrate the function (x+1)/(4-x). Find the integral. Expand the fraction \frac{x+1}{4-x} into 2 simpler fractions with common denominator 4-x. Expand the integral \int\left(\frac{x}{4-x}+\frac{1}{4-x}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. Rewrite the fraction \frac{x}{4-x} inside the integral as the product of two functions: x\frac{1}{4-x}.