calc 141 indefinite integral problem, please respond soon

sarahclay

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Oct 4, 2007
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hello! I have a question regarding a problem for my calculus 141 class which is due tomorrow (dont worry, were allowed outside help so this isnt cheating). the problem is evaluate the indefinite integral:
\(\displaystyle \L\\\int\frac{4 dx}{xln (5x)}\)
or with S representing the symbol for integral
S 4 dx / x ln(5x)
What I did which I think should be right but according to the math page isnt is move 4 to the front, set u=ln (5x) so du=5/5x dx which becomes du=1/x dx. so the 1/x in the problem is taken care of and the integral becomes 4x S 1/u du which becomes 4X ln(u) du or 4 ln(ln(5x)). is there another way to do this? or what am i doing wrong as web ct doesnt accept this answer. id really appreciate any help, preferably tonight as its due tomorrow though i know this is asking for a lot. [/code]
 
That's the correct answer. \(\displaystyle \L\\4ln(ln(5x))\)

Computers can be temperamental.

Perhaps try:

\(\displaystyle \L\\4ln(ln(x)+ln(5))\)
 
Yep, that's the correct answer. Unless the computer is anal and wants you to put +C on the end.
 
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