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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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