00:01
Okay, in this problem we need to evaluate the integral from 0 to b of 7 times e to the x dx.
00:08
Alright, so the first thing i'm going to recognize is that i can bring this constant out.
00:13
This is going to be 7 times the integral of e to the x.
00:16
7 times the integral from 0 to b of e to the x dx.
00:21
And that's going to be really useful because the integral of e to the x is e to the x.
00:26
It is very special.
00:28
It is its own integral and it is its own derivative.
00:32
So we have 7 times e to the x.
00:35
7 e to the x.
00:37
And that's going to be evaluated from 0 to b.
00:40
Now we have, that is going to equal, we're going to start with b, we're going to substitute that in for x, and then we're going to subtract from that, we're going to subtract what we get when we substitute in 0 for x...