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Evaluate the indefinite integral.

$ \displaystyle \int \sin t \sqrt{1 + \cos t} \, dt $

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01:28

Frank Lin

Calculus 1 / AB

Chapter 5

Integrals

Section 5

The Substitution Rule

Integration

Oregon State University

Baylor University

University of Michigan - Ann Arbor

University of Nottingham

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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We know that you is one plus co sign t which means that do you There's never a good sign T d t Which means that native do you is sign she did you? Which means we have negative times the ventricle of you to the 1/2 to you which gives us knighted to you the three over to divide by three plus C because you're using a powerful which means the exploding increases by one You divide by the new exponents you plug in, you're back. Substitute you is one Posco Santy.

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