# Math Help - Integrals

1. ## Integrals

Hi, I am so confuse on how to create integrals.
I attach two problems.
Can some one help me with them?
Thanks

2. I do PacMan because I PacMan. Ignore the eye of PacMan because we will just subtract that off the answer. Now the angle the circle makes from $(3,-3)$ to $(3,3)$ so from $-\frac{\pi}{4}$ to $\frac{\pi}{4}$. The equation of the circle in polar coordinates is simply $r$. In this case the radius is $r=2\sqrt{3}$. So the mouth of PacMan is described in area by:
$\frac{1}{2}\int_{-\pi/4}^{\pi/4} (2\sqrt{3})^2 d\theta$.
Once you know the mouth of PacMan you can subtract the total area of his mouth to get his body. And then subtract PacMan's eye to get your answer.

3. Originally Posted by ThePerfectHacker
I do PacMan because I PacMan. Ignore the eye of PacMan because we will just subtract that off the answer. Now the angle the circle makes from $(3,-3)$ to $(3,3)$ so from $-\frac{\pi}{4}$ to $\frac{\pi}{4}$. The equation of the circle in polar coordinates is simply $r$. In this case the radius is $r=2\sqrt{3}$. So the mouth of PacMan is described in area by:
$\frac{1}{2}\int_{-\pi/4}^{\pi/4} (2\sqrt{3})^2 d\theta$.
Once you know the mouth of PacMan you can subtract the total area of his mouth to get his body. And then subtract PacMan's eye to get your answer.
Ok, this is what I have with out the eye
I attached

4. Originally Posted by MarianaA
Ok, this is what I have with out the eye
I attached
am I right so far or no?