00:01
We'll start off this problem by trying to simplify out the right hand side.
00:03
So we'll have that d, y, d, t, equals to 1 plus t squared divided by 1 plus y squared.
00:12
And the way i got this was by distributing the square, the whole square to the individual parts, and the denominator, and the numerator.
00:20
And so now what i can do is i can multiply both sides by dt and also by 1 plus y whole squared.
00:26
So in the end, i'll have 1 plus y squared, d, y.
00:31
Equals to 1 plus t squared d t and here i can actually take the integral of both sides so now we can try and integrate both sides so i'm going to end up doing a u substitution for the left hand side so i'm going to do u equals to 1 plus y and d u equals to 1 so i'm going to plug that in so i'll have u squared d u on the left hand side and the right hand side i'm going to the same thing except i'm going to use a different variable.
01:04
I'm going to use v here.
01:05
So i'm going to have v equals to 1 plus t, and that dv equals to 1.
01:10
So when we rewrite the integral, we're going to have v squared dv...
