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Evaluate the indefinite integral.

$ \displaystyle \int \frac{\sin 2x}{1 + \cos^2 x} \, dx $

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04:06

Frank Lin

Calculus 1 / AB

Chapter 5

Integrals

Section 5

The Substitution Rule

Integration

Missouri State University

Campbell University

Harvey Mudd College

Boston College

Lectures

05:53

In mathematics, an indefinite integral is an integral whose integrand is not known in terms of elementary functions. An indefinite integral is usually encountered when integrating functions that are not elementary functions themselves.

40:35

In mathematics, integration is one of the two main operations of calculus, with its inverse operation, differentiation, being the other. Given a function of a real variable (often called "the integrand"), an antiderivative is a function whose derivative is the given function. The area under a real-valued function of a real variable is the integral of the function, provided it is defined on a closed interval around a given point. It is a basic result of calculus that an antiderivative always exists, and is equal to the original function evaluated at the upper limit of integration.

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Evaluate the indefini…

we know that you is one plus co sign squared acts. Which means that D U is negative, too. Co sign Axe sign axed Jax. Which means that we now have the integral of negative D'You over you these air what do you and us which integrates to negative natural order of you plus seed which plugging in us One post co sign squared of exes were back substituting We end up with our solution.

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