Compute an antiderivative for each of the following functions:
I was never taught integrals properly, only the basics where u change to .
can anyone help? thanks!
For a polynomial the integral is given by . Convince yourself this is true by differentiating.
The first one can be written as a sum:
Use the formula. Remember that .
Problem (b) just requires the formula. Remember that .
For (c) rememeber that
So if you let so that then . Does this make sense? Do you see what the integral is?
You're way off. The integral is given by the formula . Do you see how I applied the formula? It works the same for all polynomials. See if you can do the same for the second term.
Here is a tutorial that might help you with some of these. It seems like you don't have the basic concept of what an integral or anti-derivative is.
Pauls Online Notes : Calculus I - Indefinite Integrals