Question

integral of 3/x from 2 to 4
by hand

Answer 1

\[\int\limits_2^4\frac 3x\text dx\]

Answer 2

\[\int\limits_{2}^{4}\frac{ 3 }{ x }dx\]

Answer 3

the three can be factored out of the integral

Answer 4

okay, then what? its 3 * (1/x)

Answer 5

\[\int\limits_a^b\frac 1x\text dx=\left.\ln(x)\right|_a^b=\ln(b)-\ln(a)\]

Answer 6

can you see what to do now @liodeisel007 ?

Answer 7

I was working it out and i got to ln(4)-ln(2)

Answer 8

what happened to the three/?

Answer 9

its in the front?

Answer 10

so \[3(2\ln(2)- \ln(2))\] ?

Answer 11

@UnkleRhaukus

Answer 12

thats is right but you can simplify further

Answer 13

\[3\ln(2)\] ?

Answer 14

you got it!!!

Answer 15

thanks!!!