Question

integral lnx^48/x*dx evaluate the indefinite integral?

Answer 1

\[\huge \int \frac{ln (x^{48})}{x}dx\]
is that the question?

Answer 2

or is it \[\huge \int \frac{(\ln x)^{48}}{x}dx\]

Answer 3

\[\int\limits_{?}^{?}\ln ^{48}/x*dx\]

Answer 4

yes the second one

Answer 5

ahh that's easier

let u = ln x

du = 1/x dx

so the integral becomes
\[\huge \implies \int u^{48} du\]

Answer 6

do you get that?

Answer 7

yes i got that far then did not understand how to integrate

Answer 8

do you remember this rule? \[\huge \int u^n = \frac{u^{n+1}}{n+1}\]

Answer 9

no

Answer 10

it's the power formula...anyway use that

Answer 11

ok so you get\[u^{49}/49\]

Answer 12

correct. now turn u back into ln x

Answer 13

ok and thats it right lnx^49/49

Answer 14

yup that's it \[\huge \frac{(\ln x)^{49}}{49}\]

Answer 15

ok thank you

Answer 16

wellome ^_^