Last Updated 10/28/2022

Sage Essentials
Section 9: Vector Calculus

The integrate Command

Sage can find the integrals of a function with one or more variables.

Example 1

Evaluate the indefinite integral   ${\displaystyle \int f\left(x\right)dx}$ for $f\left(x\right)=x\cos x$.

Evaluate the definite integral ${\displaystyle \underset{0}{\overset{\pi }{\int }}f\left(x\right)dx}$  for $f\left(x\right)=x\cos x$.

Try this!

Compute ${\displaystyle \int x^2\ln x^{}dx}$  and   ${\displaystyle \underset{1}{\overset{2}{\int }}{x}^2\ln x^{}dx}$ .