You will be able to find an antiderivative using integration by parts
Using integration to work the Chain Rule backwards gave us u-substitution. Doing something similar for the Product Rule will gift us integration by parts. It expects a thank-you note. Or at least some chocolate. If you give it to me, I'll make sure it gets to the proper recipient. Duration: 5:25
Knowing when to use integration by parts is your first challenge. The second one involves choosing a sensible u and dv. LIPET will help you decide. Duration: 9:34
Example 2 hosts a power function times a trig function. According to LIPET, how will you arrange your parts? Duration: 5:05
The next example uses integration by parts to find the average value of ln x, which we could not have calculated prior to learning this pro-level technique. This example will additionally demonstrate how a definite integral can be evaluated using integration by parts. Duration: 6:59
Is your teacher forcing you to find the area bounded by arcsin x and the x-axis? They're like that sometimes. Anyway, seems like another application integration by parts might be necessary. Duration: 9:41
Our next unit concerns solving differential equations by a separation of variables. Example 5 gives us a preview of that technique. Duration: 5:09