Hi I want to integrate the following: 1/(ln(x)^3) from 2 to infinity. Am i allowed to do: (ln(x)^-3) -3 ln(x) pull out -3 and integrate ln (x)?
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Originally Posted by Kuma Hi I want to integrate the following: 1/(ln(x)^3) from 2 to infinity. Am i allowed to do: (ln(x)^-3) -3 ln(x) pull out -3 and integrate ln (x)? Of course you're allowed, but be sure the power is on x and NOT on the whole ln(x)... Tonio
Originally Posted by Kuma 1/(ln(x)^3) from 2 to infinity. Kuma: even if you don't use code, you can avoid the ambiguous notation writing: 1 / [ ln (x^3) ] or 1 / [ ( ln x )^3 ] which are different functions .
Ah its the entire [ln(x)]^3. What do i do in this case? Substitution?
You may use substitution (I usually don't use it) We get You may continue in the same way. Also we may notice x>>1
Last edited by zzzoak; Mar 28th 2011 at 09:39 AM.
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