   Chapter 12.2, Problem 41E ### 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 each of Problems 43 and 44, a family of functions is given, together with the graphs of some functions in the family. Write the indefinite integral that gives the family. F ( x ) = ( x 2 − 1 ) 4 / 3 + C To determine

To calculate: The indefinite integral that gives the family of the curves if F(x)=(x21)4/3+C. Explanation

Given Information:

The provided equation is,

F(x)=(x21)4/3+C

And, the family of curves is,

Formula used:

According to the power formula of integrals, if u=u(x), then:

undu=un+1n+1+C

Calculation:

Consider the provided function,

F(x)=(x21)4/3+C

Now, to obtain the indefinite integral that gives the above family of curves, first differentiate both sides with respect to x as,

ddx(F(x))=ddx((x21)4/3

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