   Chapter 5.3, Problem 42E ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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# Finding indefinite integrals In Exercises 31–46, use any basic integration formula or formulas to find the indefinite integral. State which integration formula(s) you used to find the integral. ∫ 3 1 + e − 3 x   d x

To determine

To calculate: The indefinite integral 31+e3xdx.

Explanation

Given Information:

The provided indefinite integral is 31+e3xdx.

Formula used:

The general logarithmic rule of integrals:

1ududxdx=ln|u|+C

Calculation:

Consider the indefinite integral:

31+e3xdx

Rewrite the integrand as:

31+e3xdx=3e3xe3x+1dx

Now, write general form of derivative

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