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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. We can solve the integral \int\frac{x}{4-x}dx by applying integration by substitution method (also called U-Substitution). First, we must identify a section within the integral with a new variable (let's call it u), which when substituted makes the integral easier. We see that 4-x it's a good candidate for substitution. Let's define a variable u and assign it to the choosen part.