For the most part, expressions are entered using standard mathematical notation, with a few caveats:

• Multiplication is implied in expressions like:
  • 2x
  • cos(x)sin(x)
  • (x+1)(x-2)
  • ln(4)4^x
  • x|x+1|
  • x cos(x) (There must be a space between x and cos.)
• Closing parentheses are not optional (unlike, say, on TI-84 graphing calculators).
• All functions must have parentheses—for example, use sin(x) rather than sin x, and ln(|x|) rather than ln|x|.
• Exponentiation (like 7^x) can be entered as either 7^x or power(7,x).
• The inverse trig functions should be entered as atan, asin, and acos (and similarly for inverse hyperbolic trig).
• Absolute values can be entered as either |x| or abs(x).

I also have a page where you can practice differentiation (derivatives).

While I have tried to test this page fairly thoroughly, it may sometimes fail. If you find it is misbehaving for you, please click THIS LINK to send me an email report of the problem.

For "skipped" functions, this page provides a link to wolframalpha.com where you can see the details of how to find the integral (follow the link, then click "Show steps"). Note that this might fail for some functions, because some of my notation is tricky to translate to a form that WolframAlpha will understand.

To check if your answer is correct, the computer finds the exact derivative of your function, and compares it to the original function you were asked to antidifferentiate. If those functions have the same output value at 5 randomly selected x values between –8 and +8, your answer is judged to be correct. That should be nearly foolproof, but I have not tested this page to the point that I can guarantee it. (In fact, I know that it fails in a few cases, because of an imperfect simplification algorithm [which I am still working on].)