Home Problems Calculus 2003

Finding the anti-derivative.


	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: 2003 Archive