Math 20A, 4.9 & 5.4 Indefinite Integrals / Antiderivatives

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).

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

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A standard example of finding an integral across a sum.

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

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

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

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

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A video on an important error students make!

Worksheet

For your practice, here's a worksheet with eight indefinite integrals Links to an external site.. 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 Links to an external site..