Raw Transcript
Hello, this is Tom from everystepcalculus.com and everystepphysics.com. A student had a question about E to the X integrals. Integration by parts so let’s do it. Index 8 to get to my menu. We’re going to scroll down here to Integration by Parts. To the I’s, there it is. Waiting for it to load. Whenever you see a busy signal, it’ means it’s loading. Sometimes it will take long but after it loads once, it’s quick. And we’re going to go e to the x problem. Busy again loading another problem. We’re going to enter the function that he was wondering about. Alpha x times yellow key x for the e x and close off the parentheses. I always show you what you’ve entered. You can change it if you want. I say it’s okay. Number 1. Does x equal 1? No, we’re going to choose number 2. That means it’s an integration by part. Otherwise, it’d be a u substitution problem. We’re loading another problem here. Here’s the formula for integration by parts. DV and V is the integral of e to the x. U is x, etc. Here’s the formula. You want to put that all together and write it on your paper. And here’s the answer. X times e to the x plus a minus e to the x. Pretty neat, huh? everystepcalculus.com. Go to my site, subscribe to them so you can see other movies. Have a good one.
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