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Evaluate the definite integral.

$ \displaystyle \int^{\pi/2}_{0} \cos x \sin(\sin x) \, dx $

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00:59

Frank Lin

Calculus 1 / AB

Chapter 5

Integrals

Section 5

The Substitution Rule

Integration

Campbell University

Harvey Mudd College

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.

01:36

Evaluate the definite inte…

01:01

Evaluate the integrals.

03:21

Evaluate the integral.…

02:00

04:01

Evaluate the integral.

01:34

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02:48

okay If we say you is signed axe than we know r d X would be Do you divide by coastline acts? Which means that we now have the integral from 01 So we got the zero because sign 00 we got the one because sign of power to is one sign you, do you, which, taking into broke of this negative co sign you from our bounds of 01 Get a new page you can now plug in. This gives us one minus co sign one.

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