   Chapter 12, Problem 19RE ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

#### Solutions

Chapter
Section ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

# Evaluate the integrals in Problems 1-26. 19.   ∫ ( x 3 − e 3 x ) d x

To determine

To calculate: The value of the integral (x3e3x)dx.

Explanation

Given Information:

The provided integral is (x3e3x)dx

Formula used:

According to the exponential rule of integrals:

exdx=ex+C

According to the power rule of integrals,

xndx=xn+1n+1+C

Calculation:

Consider the provided integral:

(x3e3x)dx

Now, use exponential rule of integral and power rule of integral as,

(x3e3x)dx=x3+13+1e3x3+

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