   Chapter 8.2, Problem 1E

Chapter
Section
Textbook Problem

# Setting Up Integration by Parts In Exercises 1–6, identify u and dv for finding the integral using integration by parts. (Do not evaluate the integral.) ∫ x e 2 x d x

To determine

The value of u and dv used to find the integral of xe2xdx using by-parts.

Explanation

Given:

The provided integral is xe2xdx.

To solve the integral use by-parts, first need to determine u and dv.

Assume dv to be the most complicated term of the integrand which can be solved by the most basic integration rule. And u will be the factor left in the integrand.

Or, let u be the portion of the integrand whose differentiation is a simpler function than dv. And dv will be the factor left in the integrand.

Since, factor x and e2x are equally easy to integrate

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