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Integrate each of the given functions.$$\int \cos 3 x \sec ^{2} 3 x d x$$

Calculus 1 / AB

Chapter 28

Methods of Integration

Section 4

Basic Trigonometric Forms

Integrals

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Lectures

03:09

In mathematics, precalculu…

31:55

In mathematics, a function…

07:21

Evaluate the integral.…

02:47

Evaluate each of the follo…

01:44

Evaluate the following int…

00:48

Evaluate the integrals.

01:17

Evaluate the integrals…

01:35

01:41

Now evaluate the following…

02:07

01:28

02:42

Hi we want to integrate the following expression that is the integral of the coastline of three X. Times as he can't square 23 X. Dx. Or because he can't is one over co sign simply on the right interest. You can't three X. Dx. This question is challenging our knowledge of methods of integration for which we previously learned the power rule log rule and exponential rules. And this problem we're being tasked to use Trigon to grow to solve. To properly solve this with a trick integral. We need to match which of the integral is one through 10 has the same form as our function. So for sure geometric functions you can't we're going to be using Rule nine. So the rule nine we have to identify you and do you you is three X. To us three D. X. So original into gross you can't three X dx is missing a factor of three that we have to carry over to our final solution. Therefore noting that missing factor of three and using equation nine solution we have are integral equal to one third. Ellen absolute values. He can't three X plus 10 3 X plus C. The constant of integration.

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