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Q: Antiderivatives - Calculus Help on test question ( No Answer,   2 Comments )
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 Subject: Antiderivatives - Calculus Help on test question Category: Reference, Education and News > Homework Help Asked by: cron1000-ga List Price: \$5.00 Posted: 11 May 2006 10:34 PDT Expires: 10 Jun 2006 10:34 PDT Question ID: 727736
 ```give an example of a function (other then arctan) which is an antiderivative of f(x)=1/(1+x^2). use your example to give anexact evaluation of the area under the curve y=f9x0 for -1 <= x <+ 1```
 ```Sorry, but the arctangent is the antiderivative of the function. Math doesn't have multiple answers.```
 ```Since this question was asked over a month ago, the test was certainly turned in by now... otherwise I couldn't justify encouraging someone plagerize my work on a test. But since I'm sure there is no chance of this any longer, here is a hint in the form of a math joke (I actually read this joke in a book). Two math professors are sitting at a bar talking about the general public. The first professor says, "I bet the average person in here knows calculus." The second responded, "I'll bet you \$5 our waitress doesn't." So they agree to ask the following question: what is the antiderivative of x^2? Of course they agreed the answer was (x^3)/3. So, they wait for their waitress to come over, and the second professor says to her, "We're trying to settle a bet. Can you tell us what the antiderivative of x^2 is?" The waitress responds, "One-third times x cubed... plus C."```