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