   Chapter 12.1, Problem 33E ### 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. ∫ ( 2 x + 3 ) d x

To determine

To calculate: The antiderivative of the integral (2x+3)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,

(2x+3)dx

Formula used:

According to the power rule of integrals,

xndx=xn+1n+1+C

Calculation:

Consider the provided integral,

(2x+3)dx

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

(2x+3)dx=2x22+3x+C=x2+3x+C

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

x2+3x

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

x2+3x4

For C=4, the equation will be,

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