   Chapter 12.3, Problem 11E ### 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. ∫ 3 e 2 x d x

To determine

To calculate: The value of the integral 3e2xdx.

Explanation

Given Information:

The provided integral is 3e2xdx.

Formula used:

If u is a function of x, then:

euudx=eudu=eu+C

Calculation:

Consider the provided integral:

3e2xdx

Rewrite the integral by multiplying and dividing by 2 as:

322e2xdx

Now, consider u=2x.

Then, the above integral became as,

322eudx

Now, use the formula of integral:

euudx=

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