Posted by T.Gracken on November 01, 2002 at 08:58:12:
In Reply to: antiderivitives... very important by 12:00 posted by chris on October 31, 2002 at 23:42:05:
: what is antidirivitive of 2/x^2
look up the basic forms!
all of your questions so far have to do with basic forms for which there are simple formula.
a hint for this one. If you have x raised to a power (other than negative one), then the anti-derivative is x raised to one more than the original power, all divided by the new power.
in symbols: [anti-derivative of] xn = xn+1/(n+1)
also, the antiderivative of a constant times a function is the constant times the antiderivative of the function,
so, start by rewriting 2/x2 as 2*x-2 and see if you can get the answer from there.