Heh, okay I figured out the first one. I decomposed it using partial fractions to obtain a simpler geometric sum and from then on it was easy.
Now as for the second, when I complete the square I notice that it is a circle centered @ (-2,0) with radius 4 but it asks me to find the area...
Can you please offer any hints or suggestions on how to do these two problems:
1) Find the Maclaurin series of (x^2 + 1)/(3x^2 + 2x - 1).
Should I perform long-division first? I can't seem to find any repeating pattern...
2) Evaluate the integral sqrt(12-4x-x^2) from x=2 to x=6.
I...