00:01
All right, they give you the indefinite integral of f of x, and they want you to find f.
00:05
So if i just take derivative of both sides, that'll happen, because that's the fundamental theorem of calculus.
00:14
So, okay, i need to take derivative of the right side.
00:17
I actually need to do a product rule then.
00:20
So on that part, so derivative of the first thing is 2x times the second thing is e to the x, plus the first thing is x squared.
00:28
Derivative of e to the x is e to the x.
00:31
Minus two.
00:32
I need another product rule.
00:34
Derivative of x is one times the second thing is e to the x, plus the first thing is x times derivative of the second thing is e to the x.
00:44
Okay, now i need derivative of two e to the x is two e to the x, and then derivative of a constant is zero.
00:52
All right, i should be able to clean that up a little bit.
00:56
Actually some really nice thing happens...