The document discusses several methods for finding the anti-derivative or indefinite integral of a polynomial function, including using the reverse of the power rule. The reverse power rule involves multiplying the coefficient by the exponent, subtracting one from the exponent, and dividing the coefficient by the new exponent. As an example, the anti-derivative of 6x^2 is found by adding 1 to the exponent of 2 to get x^3, and then dividing the coefficient 6 by the new exponent 3 to get 2x^3. The document also briefly mentions other integration techniques like substitution, integration by parts, and integration by partial fractions.

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