5.6.2

[STARTS AT 4:34]

INSTRUCTOR: Find the antiderivative of the function log base 3 of x. So log base 3x dx. Now, we had a formula, right? I guess it's what you would call it, a formula at the top of our paper there. That's log base ax equals-- log base ax, the integral of that, dx equals x over natural log times natural log of x minus 1 plus C. 

Now, we can use that with this. The difference is our a, in this case, is just 3. So a is 3 in that function. So this would be x over natural log 3 times natural log x minus 1 plus C. We did not have to use u substitution. So we can keep the x where it is. That's it.

[ENDS AT 5:42]