" Q "44/45" int "(log x)/((1+log x)^(2))dx=(ax)/(1+log x)+c," then "a" is "

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" "int(log x)/((1+x)^(2))dx

int (1)/(log x)-(1)/((log x)^(2))dx=

int(ln x)/((1+ln x)^(2))dx=

int(log(log x)+(log x)^(-1))dx=

int (1+log x)/(1+x log x)dx=

int[log(log x)+(1)/((log x)^(2))]dx

Evaluate: int(log x)/((1+log x)^(2))dx

int(1)/(x(log x)^(2))dx

int[(1)/(log x)-(1)/((log x)^(2))]dx=

int 1/(x(log x)^2)dx