00:01
So suppose i want to find a specific antiderivative.
00:03
What's the difference between a specific and general anti -derivative? well, this happens when a general anti -derivative, i'm just adding by some constant c, a specific antiderivative.
00:14
I'm adding by a specific number that i know from more information.
00:17
So first, i'm just going to rewrite this f of z as just with exponents in the top.
00:23
So instead of 1 over z squared, z to the negative 2 plus z technically through the first power.
00:29
So when i'm finding the anti -derivative with respect to z, i'm finding the anti -derivative with respect to both terms, dz, and this is the power roll in reverse.
00:39
So how do we do the power roll in reverse? well, if it's z to the negative 2, instead of bringing down the exponent, multiplying in front and subtracting one, i'm going to add one.
00:50
And then instead of multiplying by this original exponent, i'm going to divide opposite of dividing...