   Chapter 4.4, Problem 17E

Chapter
Section
Textbook Problem

# Find the general indefinite integral. Illustrate by graphing several members of the family on the same screen. ∫ ( cos x + 1 2 x ) d x

To determine

To find:

The general indefinite integral and illustrate by graphing several members of the family on the same screen.

Explanation

1) Concept:

First, by using rules of indefinite integrals evaluate the given integral by taking several values of  C. Graph the curves on the same screen.

2) Formula:

i. fx+gxdx=f(x)dx+g(x)dx

ii. xndx=xn+1n+1+C

iii. cos xdx= sinx+C

iv. cf(x)dx=cf(x)dx

3) Given:

cos x+12xdx

4) Calculation:

Consider, cos x+12xdx integrating by using rules of integration.

Separating the integral by using the rule, fx+gxdx=f(x)dx+g(x)dx,

cos x+1

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