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Expand the fraction $\frac{x+2}{x^2+1}$ into $2$ simpler fractions with common denominator $x^2+1$
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$\int\left(\frac{x}{x^2+1}+\frac{2}{x^2+1}\right)dx$
Learn how to solve problems step by step online. Find the integral int((x+2)/(x^2+1))dx. Expand the fraction \frac{x+2}{x^2+1} into 2 simpler fractions with common denominator x^2+1. Expand the integral \int\left(\frac{x}{x^2+1}+\frac{2}{x^2+1}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\frac{x}{x^2+1}dx results in: \frac{1}{2}\ln\left(x^2+1\right). The integral \int\frac{2}{x^2+1}dx results in: 2\arctan\left(x\right).