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Integrate each of the given functions.$$\int \frac{\csc ^{2}\left(e^{-x}\right) d x}{e^{x}}$$

$\cot e^{-x}+C$

Calculus 1 / AB

Chapter 28

Methods of Integration

Section 4

Basic Trigonometric Forms

Integrals

Missouri State University

Baylor University

University of Michigan - Ann Arbor

Idaho State University

Lectures

05:53

In mathematics, an indefin…

40:35

In mathematics, integratio…

00:47

Find each integral.$$\…

00:54

00:49

01:02

Determine each indefinite …

01:53

Evaluate each integral.

01:59

Evaluate the integrals usi…

02:51

00:46

Use substitution to find e…

01:00

Evaluate each definite int…

01:10

03:40

01:15

03:55

evaluate using Integration…

04:06

evaluate using substitutio…

01:42

02:18

02:04

Evaluate the following int…

00:31

we want to evaluate the integral given by the indefinite integral. Of course you can't square teach the negative X over each of the X. D. S. This question is challenger. Knowledge of methods of integration for which we previously learned about the power rule log rule and exponential rule. In this problem, we're being tasked to use our newfound understanding of trig integral. I listened all 10 trillion to girls here that we're going to use to solve. We need to find the integral which matches the form of our current integral. So the target metric, I did function and are integral is cozy. Can't squared. We see that lines up with it's rule number four which has the solution negative co tangent. You plus see that's that's all we need to identify. What are you is. So you is obviously each negative X. Do you is negative E. To the negative X. Thus are integral is missing a factor of negative one which we carry over the solution. So from equation four we have solution at the bottom. Co tangent. Oh, each of the negative X plus C. I was just given here

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