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Which of the integrals $ \displaystyle \int^2_1 \arctan x \,dx $, $ \displaystyle \int^2_1 \arctan \sqrt{x} \,dx $, and $ \displaystyle \int^2_1 \arctan (\sin x) \,dx $ has the largest value? Why?

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01:08

Frank Lin

Calculus 1 / AB

Chapter 5

Integrals

Section 2

The Definite Integral

Integration

Campbell University

Baylor University

University of Michigan - Ann Arbor

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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we know the art Innovex isn't increasing function. Therefore, we know that our content signed X is less than or equal to, which is less than or equal to work. Tin of Axe. Therefore, we know that the integral from wondered too of Arc 10 of axe detox has the largest value because it correlates to this.

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