main calculus sage page

Integrals

You can compute an indefinite integral (antiderivative) of a function.

You can compute a definite integral of a function on an interval.

Here is an integral that you would do by substitution.

Here is an integral that you would do by integration by parts.

Here is an integral that you would do by trigonometric substitution.

Here is an integral that you would do by partial fractions.

You can do improper integrals; \(\infty\) is entered as oo. (It will give an error if the integral is divergent.)

You can do improper integrals where the function has a vertical asymptote. (It will give an error if the integral is divergent.)

You can plot a Riemann sum.

You can define the Gateway arch in St. Louis (an inverted catenary), compute the area under it and plot it.


Martin J. Mohlenkamp

Last modified: Thu Aug 3 19:20:10 UTC 2017