Question

integral ln(3x+5)

Answer 1

for most things with\[\int\ln(ax+b)dx\]you can use\[dv=dx\]\[u=\ln(ax+b)\]

Answer 2

@yabucoayankee you there?

Answer 3

okay thats why i couldnt get it. theen what?

Answer 4

so then du= (1/3x+5)*3

Answer 5

yes, du=3/(3x+5)dx
and what is v ?

Answer 6

v= x

Answer 7

right :)
so\[\int udv=uv-\int vdu\]is what after these substitutions?

Answer 8

still with me?

Answer 9

ln(3x+5)(x)-\int(x)*(1/3x+5)*3\]

Answer 10

yes

Answer 11

so now you need to integrate\[\int{3x\over3x+5}dx\]any idea how to do that?