By Eric Lake

Section 4.9 & 5.4: Indefinite Integrals / Antiderivatives

This module has both videos and a practice worksheet at the bottom!

Videos

We play Jeopardy to introduce the idea of antiderivatives: the function whose derivative is f(x).

The table of indefinite integrals / antiderivatives you need to know.

A standard example of finding an integral across a sum.

An indefinite integral of a product. Note: you can't split integrals across sums, and there's no integral product rule (yet...).

An integral with several terms, including an e^x and another important form.

An integral of a quotient--and there isn't an integration quotient rule, so we need a different tactic.

An initial value problem, where we solve for the +C's.

A video on an important error students make!

Worksheet

For your practice, here's a worksheet with eight indefinite integrals. Do your best to do these without looking notes or a video, at least until you get stuck, then take a look at those resources.

When you are finished, check your work with the full worked out solutions.