   Chapter 12.1, Problem 34E ### 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

# In Problems 33 and 34, find the antiderivatives and graph the resulting family members that correspond to C = 0, C = 4, C = -4, C = 8, and C = -8. ∫ ( 4 − x ) d x

To determine

To calculate: The antiderivative of the integral (4x)dx and graph the resulting family for

C=0, C=4, C=4, C=8 and C=8

Explanation

Given Information:

The provided integral is,

(4x)dx

Formula used:

According to the power rule of integrals,

xndx=xn+1n+1+C

Calculation:

Consider the provided integral,

(4x)dx

Now, use the power rule of integrals to obtain the above integral as,

(4x)dx=4xx22+C

Now, for C=0, the equation will be,

4xx22

Also, for C=4, the equation will be,

4xx224

For C=4, the equation will be,

4xx22+4

Also, for C=8, the equation will be,

4xx228

And, for C=8, the equation will be,

4xx22+8

Now, graph all these equations using TI-83 as,

Step1: Press ON key

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