00:01
The first thing i would do is simplify this problem.
00:04
So we're given the 3x to 2 thirds.
00:07
That's good.
00:09
I like the way that's written.
00:10
But i don't like how this other piece is written as 1 divided by the square root of x.
00:15
So using some algebra, i would just rewrite this problem.
00:20
Again, i'm fine with that first piece.
00:22
But the negative, if you're in the denominator, you can have a negative exponent.
00:28
And then the square root is the same thing as to the 1.
00:30
Half power dx.
00:33
So now i'm just going to use the power rule of some constant times x to the n power.
00:39
Its integral is equal to adding one to the exponent and then dividing by your new exponent.
00:45
But what you're actually going to see me do instead of dividing by a new number, so i'm going to multiply by the reciprocal, which is also what you can do...