In Exercises 1–24, find an antiderivative for

Chapter 4, Problem 6E

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QUESTION:

In Exercises 1–24, find an antiderivative for each function. Do as many as you can mentally. Check your answers by differentiation.

a. \(-\frac{2}{x^{3}}\)        b. \(\frac{1}{2 x^{3}}\)       c. \(x^{3}-\frac{1}{x^{3}}\)

Equation Transcription:

Text Transcription:

- frac 2 / x^3

frac 1 / 2x^3

x3 - frac 1 / x^3

Questions & Answers

QUESTION:

In Exercises 1–24, find an antiderivative for each function. Do as many as you can mentally. Check your answers by differentiation.

a. \(-\frac{2}{x^{3}}\)        b. \(\frac{1}{2 x^{3}}\)       c. \(x^{3}-\frac{1}{x^{3}}\)

Equation Transcription:

Text Transcription:

- frac 2 / x^3

frac 1 / 2x^3

x3 - frac 1 / x^3

ANSWER:

Solution

Step 1 of 3

In this problem we have to find the antiderivative of the following.


(a)

Antiderivative of given function is

 Check the answer by differentiation,

Thus differentiate the function  .

Hence ,

So antiderivative of  is .

This is the required solution.


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