00:01
Okay, so let's get started with the first exercise.
00:05
The integral from 1 to 3 of 2x minus 1 to the 4th power in dx.
00:11
Well, what is an antiderivative of this guy? easy.
00:15
An antiderivative is gonna be 1 half multiplied by 2x minus 1 to the 5 over 5.
00:25
The evaluation between 1 and 3 is our integral.
00:29
So what do we get? 1 over 10 multiplied by the evaluation at 3 of this guy here is 5 to the 5.
00:40
The evaluation at 1 is 1.
00:42
Easy.
00:44
Now, 11.
00:46
Well, here we have the integral from negative 1 to 1 of x squared multiplied by x cubed plus 1 to the fourth power.
01:00
Well, to solve this integral let's observe that the derivative of this guy is 3x squared.
01:07
Here we have x squared, so what can we do? we are gonna multiply this integral by 1 third and this one by 3...