00:06
Okay, this one looks like fun.
00:09
This is what i call functions defined as integrals, and it's also called fundamental thorem of calculus.
00:17
We're going to use fundamental theorem of calculus for part of it.
00:21
Now, when i'm asked to find g at 0, that will be the integral from 0 to 0.
00:27
If the top and bottom limits are the same, it doesn't matter what's inside.
00:32
My answer is going to be 0.
00:35
G at 2 is the integral from 0 to 2 of the square root of 4 minus t squared d t.
00:45
You might have to use remand sum on some of these integrals, but the square root of 4 minus t squared is a semicircle with x intercepts at negative 2 and 2.
01:00
So the integral from 0 to 2 is a quarter of a circle, the area of a quarter of a circle, with radius 2...