   Chapter 12.3, Problem 5E ### 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 1-32. 5.   ∫ 1000 e 0.1 x   d x

To determine

To calculate: The value of the integral 1000e0.1xdx.

Explanation

Given Information:

The provided integral is 1000e0.1xdx.

Formula used:

If u is a function of x, then:

euudx=eudu=eu+C

Calculation:

Consider the provided integral:

1000e0.1xdx

Rewrite the integral by multiplying and dividing by 0.1 as:

10000.10.1e0.1xdx

Now, consider u=0.1x.

Then, the above integral became as,

10000.10.1eudx

Now, use the formula of integral:

euudx=eudu=eu+C

To obtain the integral as:

10000

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