   Chapter 12, Problem 10T ### 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. ∫ 100 e − 0.01 x   d x

To determine

To calculate: The evaluation of the integral 100e0.01xdx.

Explanation

Given information:

The provided integral is:

100e0.01xdx

Formula used:

Exponential formula:

If u is a function of x,

euudx=eudu=eu+C

Calculation:

Consider the provided integral:

100e0.01xdx

Let u=0.01x

Differentiate above equation to get:

dudx=0.01du0.01=dx

Substitute du0.01 for dx and u for 0.01x in above equation to get:

100e0.01xdx=100eu(du0.01)=1000

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