Integration

    Rules for Indefinite Integrals 
1)  For any real number n not equal to 0,

2)  If all integrals exist, then

for any real constant k.
3)  If k is a real number not equal to 0, then

4) If k is a real number not equal to 0, then

5)  x can not equal zero, then


The Fundamental Theorem of Calculus

Let f be continuous on the interval [a,b], and let F be any antiderivative of f.  Then

Where F(b) and F(a) are the antiderivatives at the values of a and b.

Sample Problems

That should give you a fair sampling of some easier integration problems.  Now, on to an application of the integral -- Finding the area under a curve!

Interesting fractals, aren't they?