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Evaluate the indefinite integral.

$ \displaystyle \int \frac{\sin \sqrt{x}}{\sqrt{x}} \, dx $

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01:14

Frank Lin

Calculus 1 / AB

Chapter 5

Integrals

Section 5

The Substitution Rule

Integration

Campbell University

Oregon State University

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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we know the squared of axe is you. Which moves do you want Overserved squares? Axe D s. Which means they could put the constant too. And multiply it by the integral of sine you Do you, which we know is negative co sign you for C when we get back to us Squirt of X to give us negative, too co sign squared of X plus C.

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