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Evaluate the integral.
$ \displaystyle \int e^2\ dx $
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Calculus 2 / BC
Chapter 7
Techniques of Integration
Section 5
Strategy for Integration
Integration Techniques
Oregon State University
Harvey Mudd College
Idaho State University
Lectures
01:53
In mathematics, integration is one of the two main operations in calculus, with its inverse, differentiation, being the other. Given a function of a real variable, an antiderivative, integral, or integrand is the function's derivative, with respect to the variable of interest. The integrals of a function are the components of its antiderivative. The definite integral of a function from a to b is the area of the region in the xy-plane that lies between the graph of the function and the x-axis, above the x-axis, or below the x-axis. The indefinite integral of a function is an antiderivative of the function, and can be used to find the original function when given the derivative. The definite integral of a function is a single-valued function on a given interval. It can be computed by evaluating the definite integral of a function at every x in the domain of the function, then adding the results together.
27:53
In mathematics, a technique is a method or formula for solving a problem. Techniques are often used in mathematics, physics, economics, and computer science.
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Evaluate the definite inte…
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Evaluate the integral.…
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Evaluate.$$\int_{e}^{e…
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So for the following in a girl. Well, here we have a constant integral of a constant with respect to X is always just si x. And then I guess we are constant after that was a plus de since every UC and I guess the quick way to verify this is, well, it's just using the power rule. So here, if you want to integrate just some constant see, you could pull out the sea, and then you have inaugural one d X, and then you could write that as CNN roll X to the zero and then use the power rule. So then you just couldn't see X, and then you had your constant at the end. So due to the fact East where it is just a constant So I just get e squared eggs and then add my constant of integration, see? And that's my final answer.
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