| Find the antiderivative |
Find the antiderivative shown WITHOUT the use of a calculator or computer system that does algebra. Explain your method clearly.
 |
Problem Moderated by: MrT |
| Problem Solution |
The quickest way to compute this is to use long division to break the expression into two parts. When you divide this out, you get
4x + (3x^2+1)/(x^3+x).
The integral of the first term is simply 2x^2, while the second can easily be done by u-substitution, and recognizing that it is a natural log. The answer is:
Back |
|
|
Options
|
|
|
Calculus Page
|
|
|
|
Archives
|
|
|
|
Problem Pages
|
|
|
|
Games!
|
|
|
|
