00:01
Okay, so to evaluate this integral, i'm going to start by taking the anti -derivative of 6 with respect to y.
00:09
So i'm going to have integral negative 1 to 1, integral 0 to z, and the antiderivative of 6 with respect to y is going to give us 6y, and we're going to evaluate that from 0 to x minus c.
00:23
And then we're going to have here, dx, dz.
00:27
So continuing here, we're going to now plug in x minus c.
00:31
Plugging 0 is just going to be 0.
00:34
So we're going to have double integral, negative 1 to 1, 0 to z, and then 6 times x minus z, dx, dz.
00:47
And here you can choose to take the 6 outside of the integral, or you can distribute it...