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Evaluate the integral.

$ \displaystyle \int_0^1 (x^2 + 1) e^{-x} dx $

$$-6 e^{-1}+3$$

Calculus 2 / BC

Chapter 7

Techniques of Integration

Section 1

Integration by Parts

Integration Techniques

Campbell University

Harvey Mudd College

Baylor University

Idaho State University

Lectures

01:11

In mathematics, integratio…

06:55

In grammar, determiners ar…

01:13

Evaluate the integral.…

06:24

01:12

Evaluate the definite inte…

00:47

00:39

02:10

02:01

00:54

03:41

00:53

The problem is you want the integral into girl from there is one X squared plus Juan haves each negative waxed. Yes, but this problem we can use integration by parts to solve this problem. The formula is into girl from way to be of the function You Thompson from the axe This is the country new temps leve from being minus the integral from a to B you prime taps Lee yaks Now for our problem we cannot you is because to excoriate past one on the weak from is like a way to connect your backs. Then you is equal to likes and the greenies. They got your negative connective axe. Now it's integral. Integral is we caught you. You time you attempts pleases It's like square plus wan times negative B ninety wax from you know it's Juan minus and to grow up. Two likes hams. Negative. Thank you, Axel. This pass Internet vax Yanks from zero to one. I'm the one this is Nicole Chew the first true Rem. This is negative. Two taps need to thank you, Juan. Minus No. So I mean zero here. So this is minus next to you. One says this Austan and then Or this integral. We kind of use interim integration. My parts a cane. Can not You is You go to to lax and the prom. If we could, Andre. Promise They got tio Negative axe. So you crumb chilled on these? They're too negative. Thank you, Max. This integral is you Go to you Tom's ways. This is two ax negative. You to make your bags from zero one on minus and to grow off two hams. Nineteen, eighteen, ninety wax. Yes, this is a co two connected to Wan wan us. But this term, like I'm lugging one, this isthe negative. Negative. Two times two. Next one, uh, minus zero. On this, Integral is classed too into girl. Off each. You make to Jax is from your own one in packs. Andi, This one is from there. One. This is equal to two hams. Negativity. To make your backs from zero to one. This is a culture two times negative. You know what you want them class want of? Answer is you called too negative. Two attempts made One last one once, Two times. It's me you want us two have negative one. Us too. So the answer is negative. Six dempsey to ninety one, Class three

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