   Chapter 7.5, Problem 45E

Chapter
Section
Textbook Problem

# Evaluate the integral. ∫ x 5 e − x 3 d x

To determine

To find:

x5e-x3dx

Explanation

Formula used: We use integration by parts to solve the given indefinite integral.

Calculations: Let x3=t, so that 3x2dx=dt

Let u=t and dv= e-tdt, then du=dt and v=-e-t in integration by parts. Thus the given integral I can be solved as

I=te-t3dx=13-te-t--

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