1. Integration of polynomials
How do you find the anti-derivative using
the reverse of the power rule?
Methods (substitution, integraion by parts,
integration by partial fractions)
Word File with 2 ORIGINAL Examples of
substitution(one must be trig)

2. Remember the first way you
learned to derive
 F(x)=2x3
 F’(x)=2*3x(3-1)
 F’(x)=6x2
 The power rule derives a polynomial or
variable by multiplying the variable’s
coefficient by the exponent and
subtracting one from the exponent

3. To integrate a polynomial you
do the reverse
Multiply coefficient by
exponent
Subtract one from the
exponent
Add one to the exponentDivide the coefficient
by the NEW exponent

4. So to integrate 6x2 you
 Add one to the exponent of 2 giving you
x cubed
 And divide the coefficient, six, by the
new exponent three giving you:
 2x3