00:01
Okay, so you want to find the area of the shaded regions.
00:03
Number one is quick, so i will go ahead and do both of these.
00:06
If you look at number one, 2x over, so 2x over x squared plus 4 is an odd function, and you're going over an even interval, so negative 2 to 2.
00:24
Since this is an odd function over an even interval, the area under the curve, the integral is equal to 0.
00:31
For number two, you have the integral, your lower bound is zero, your upper bound is 4, and it is the bigger function minus the smaller function.
00:46
So this is the square root of x minus x minus 2, dx, dx here, of course...