   Chapter 13.2, Problem 28E ### 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 definite integrals in Problems 1-32. 30.   ∫ 1 5 e 3 y − 1   d y

To determine

To calculate: The value of the integral 15e3y1dy.

Explanation

Given Information:

The provided integral is 15e3y1dy.

Formula used:

To calculate a definite integral, evaluate the indefinite integral and then substitute the limits of the integral.

For any variable x, the integral formula is

1x dx=ln|x|+C.

The logarithmic property,

lnab=lna+lnb.

Calculation:

Consider the integral 15e3y1dy.

Recall that to calculate a definite integral, evaluate the indefinite integral and then substitute the limits of the integral.

Now, evaluate the integral.

Use the formula 1x dx=ln|x|+C to simplify the integral

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