00:01
All right, so we're given this integral x squared minus 4 dx.
00:05
We want to evaluate it from negative 2 to 2.
00:09
So we know from our fundamental theorem of calculus, that's just going to be equal to our antiderivative at our upper bound 2 minus the antiderivative at negative 2.
00:20
So if we start with x squared, our anti -derivative of this, just going to give us x cubed over 3.
00:28
We're just adding 1 to our exponent, and we have to have the same denominator.
00:32
And then for 4, antiderotididate of that, is just going to be 4x.
00:38
So any whole number is just going to get that x on there.
00:43
So that leaves us with x cubed minus 3, minus 4x, evaluating from 2 to negative 2...