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

$-\ln |\cos x|+C$

Calculus 1 / AB

Chapter 28

Methods of Integration

Section 4

Basic Trigonometric Forms

Integrals

Campbell University

Oregon State University

Boston College

Lectures

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In mathematics, precalculu…

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In mathematics, a function…

00:54

Find each integral.$$\…

01:47

Evaluate the integral.…

02:06

Evaluate the integrals.

00:21

01:14

Evaluate the following int…

01:25

02:09

Integrals with $\sin ^{2} …

01:06

Evaluate the indefinite in…

01:57

Uh huh. We want to integrate the following the integral of sine two X. Over to co squared X. Dx. Because signed two X. Is by tricking metric identity to co sex Synnex. It must be that by cancellation are integral is equivalent to as a noted here on the right and she'll tan X. Dx. So to integrate this we're gonna have to use a method of integration known as tricky metric integral. To use symmetric integral correctly. We have to use one of these 10 to solve that is we have to match the form of our integral with the form of one of these 10. Since our integral kinetic friction can X. We must be that we're going to be using seven integral. Tan you do you Thus using 7? We have to identify you and do you which is simply you X&DX. Thus by interest Girl. or rather by equation seven are in general has solution negative Ln absolute value co sign of you. Plus see the constant of integration.

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