Question

indefinite integals

Answer 1

\[\int\limits_{}^{}\frac{ 4dx }{ xIn(5x) }\]

Answer 2

Ok, first off, take out the 5. It has no bearing on the integral.

Answer 3

\[=4\int\limits_{}^{}\frac{ dx }{ x \ln 5x }\]

Answer 4

ok. do i need du and u?

Answer 5

Yes, we will get to those next.

Answer 6

why its 4 in the front?

Answer 7

As I mentioned in the first post, it has no bearing on the integral, so just take it out.

Answer 8

The only terms which you are going to focus on are the ln 5x and the x in front of it.

Answer 9

So, what is your u going to equal?

Answer 10

I see.
Equa;?

Answer 11

*equal?

Answer 12

What is u?

Answer 13

U=XInx?

Answer 14

no, the x by itself is part of the derivative. If u=ln 5x, du= (1/5x)5dx=(1/x)dx

Answer 15

so U is always the whole number of numetator?

Answer 16

and why dx=(1/5x)?