   Chapter 5, Problem 40RE ### 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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# Using the Exponential and Log Rules In Exercises 35-46, find the indefinite integral. ∫ ( 3 t − 3 ) e t 2 − 2 t   d t

To determine

To calculate: The indefinite integral (3t3)et22tdt.

Explanation

Given Information:

The provided indefinite integral is (3t3)et22tdt

Formula used:

The exponential rule of integrals:

eudu=eu+C

Calculation:

Consider the indefinite integral:

(3t3)et22tdt

Let u=t22t, then derivative will be,

du=d(t22t)=(2t2)dt

Rewrite the integral as:

32et22t(2t2)dt

Substitute du for (2t2)dt and u for t22t in provided integration

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