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Evaluate the integral.

$ \displaystyle \int^{1}_{0} \frac{4}{1 + p^2} \,dp $

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00:54

Frank Lin

Calculus 1 / AB

Chapter 5

Integrals

Section 4

Indefinite Integrals and the Net Change Theorem

Integration

Campbell University

Harvey Mudd College

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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okay. Given the integral from 01 of four over one plus p Squared D peed. We know he could take the constant for. On the outside we write, the integral is four times are tan pee from 01 which is four times earth, 10 of one minus arc, 10 of zero. This is for times power for my zero, which is simply pie because fortified before cancels.

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