Question

Integrate.. (tan(lnx^4))/x

Answer 1

is it (lnx)^4 or ln(x^4)?

Answer 2

\[\int\limits \frac{ \tan(lnx ^{4} )}{ x }\]

Answer 3

scratch that just u substitute for 4 lnx

Answer 4

^ agreed

Answer 5

so du =4/x

Answer 6

\[\int\limits\limits \frac{ \tan(4 \ln x )}{ x }dx\]\[u=4 \ln x\]\[{du \over 4} = {1 \over x}dx\]Replace 1/x dx with du/4

Answer 7

\[\frac{ 1 }{ 4 }\int\limits(\tan(u))\]

how do i integrate tan

Answer 8

\[\int\limits \tan u \space du=-\ln|\cos u| + C\]courtesy of my Diff EQ book

Answer 9

tan(u)=sin(u)/cos(u)..if you play with that you get what ChmE got

Answer 10

\[\frac{ -1 }{ 4 }\ln \left| \cos(4lnx) \right|\]

got it thanks guys

Answer 11

yw