hi, i wasn't sure how to integrate the following expression by substitution so any help would be appreciated: 1/[x(ln(x)]
Follow Math Help Forum on Facebook and Google+
Originally Posted by clockingly hi, i wasn't sure how to integrate the following expression by substitution so any help would be appreciated: 1/[x(ln(x)] INT.[1 / [x*ln(x)]]dx Let u = ln(x) So, du = (1/x)dx INT.[1 / [x*ln(x)]]dx = INT.[1 / [ln(x)]] (1/x)dx = INT.[1/u]du = ln|u| +C = ln|ln(x)| +C ------------answer.
View Tag Cloud