   Chapter 6.2, Problem 22E ### 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 Integration Tables In Exercises 9–36, use the integration table in Appendix C to find the indefinite integral. See Examples 1, 2,3, and 5. ∫ 3 + 4 t t   d t

To determine

To calculate: The solution of indefinite integral 3+4ttdt.

Explanation

Given Information:

The integral is provided as, 3+4ttdt.

Formula used:

The formula for integral a+buudu is,

a+buudu=2a+bu+a1ua+budu

The formula for integral 1ua+budu is,

1ua+budu=1aln|a+buaa+bu+a|+C

Calculation:

Let u=t.

Differentiate on both side with respect to x,

du=dt

Consider the provided integral,

3+4ttdt

Here, a=3, b=4, u=x and du=dx.

Substitute u for t, a for 3, b for 4 and du for dx

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