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If $ \displaystyle f(x) = \int^x_0 (1 - t^2) e^{t^2} \,dt $, on what interval is $ f $ increasing?
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00:57
Frank Lin
Calculus 1 / AB
Chapter 5
Integrals
Section 3
The Fundamental Theorem of Calculus
Integration
Campbell University
Harvey Mudd College
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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Okay, The first thing you know is the directive one minus X squared times E to the X squared. Now we know that we have one month's ex, Corde said. Equal to zero axes, Juan or negative one cause one are negative on squared, sort of this positive one know either the export always has to be positive. Therefore, we know that when access between negative 11 the function is increasing, so it's increasing. The absolute value of axe is less than one. That's essentially this simplified form in which we can write this, otherwise it's decreasing.
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