Exercise
$\int\frac{x^2+3}{x\left(x^2+1\right)}dx$
Step-by-step Solution
Learn how to solve problems step by step online. Find the integral int((x^2+3)/(x(x^2+1)))dx. Rewrite the fraction \frac{x^2+3}{x\left(x^2+1\right)} in 2 simpler fractions using partial fraction decomposition. Simplify the expression. The integral \int\frac{3}{x}dx results in: 3\ln\left(x\right). The integral -2\int\frac{x}{x^2+1}dx results in: -\ln\left(x^2+1\right).
Find the integral int((x^2+3)/(x(x^2+1)))dx
Final answer to the exercise
$3\ln\left|x\right|-\ln\left|x^2+1\right|+C_0$