Final Answer
Step-by-step Solution
Specify the solving method
Expand the integral $\int\left(\frac{1}{x^2+8}+x\ln\left(x\right)\right)dx$ into $2$ integrals using the sum rule for integrals, to then solve each integral separately
Learn how to solve integrals involving logarithmic functions problems step by step online.
$\int\frac{1}{x^2+8}dx+\int x\ln\left(x\right)dx$
Learn how to solve integrals involving logarithmic functions problems step by step online. Solve the integral of logarithmic functions int(1/(x^2+8)+xln(x))dx. Expand the integral \int\left(\frac{1}{x^2+8}+x\ln\left(x\right)\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\frac{1}{x^2+8}dx results in: \frac{\sqrt{2}}{4}\arctan\left(\frac{\sqrt{2}}{4}x\right). The integral \int x\ln\left(x\right)dx results in: \frac{1}{2}x^2\ln\left(x\right)-\frac{1}{4}x^2. Gather the results of all integrals.