00:01
In this question, we're integrating this expression.
00:04
Notice that is with respect to x.
00:07
There are a couple of ways to integrate this, but for this topic, we're using substitution method and the integration power rule.
00:15
For the integration power rule, if we are integrating u to the power n respect to u, we add one to the power and divide by the new power.
00:27
Don't forget to put a plus c for indefinite integral.
00:32
Integral means there are no lower upper limits over here.
00:38
So before we do by brute force, this integration, let's use substitution.
00:46
Substitution will allow us to use power rule easily.
00:53
So let you be equals to cosine x since there are a lot of it.
01:02
So the u over the x will be minus sine x.
01:09
So let's bring the dx out.
01:10
We'll have minus sine x dx...