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Expand the fraction $\frac{x+1}{4-x}$ into $2$ simpler fractions with common denominator $4-x$
Learn how to solve integrals of rational functions problems step by step online.
$\int\left(\frac{x}{4-x}+\frac{1}{4-x}\right)dx$
Learn how to solve integrals of rational functions problems step by step online. Find the integral int((x+1)/(4-x))dx. 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}. We can solve the integral \int x\frac{1}{4-x}dx by applying integration by parts method to calculate the integral of the product of two functions, using the following formula.