Solution Found!
In Exercises 1–24, find an antiderivative for
Chapter 4, Problem 6E(choose chapter or problem)
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.