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Evaluate the integral.

$ \displaystyle \int^{10}_{-10} \frac{2e^x}{\sinh x + \cosh x} \,dx $

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00:50

Frank Lin

Calculus 1 / AB

Chapter 5

Integrals

Section 4

Indefinite Integrals and the Net Change Theorem

Integration

Oregon State University

University of Michigan - Ann Arbor

University of Nottingham

Idaho State University

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 definite inte…

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00:41

Evaluate the indefinite in…

02:58

Evaluate the integrals.

00:39

01:51

01:24

$21-44$ Evaluate the integ…

01:43

Calculate the integral.

01:02

Find the integral.$$

02:33

Okay. As you can see, this is our integral. Now, the first thing we know we can do is we know we can simplify this because either the X is sign h of X post coastline h of X, which means we can write this integral as from night of tender 10 to each of the AKs. Divide by each of the AKs. Jax, which just gives us two DX. Now we know the integral to D axes to acts, which means now we can plug in two times 10 is 20 two times negative times negative. 2020 miles. Native 20 is 20 plus 20 which is 40.

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