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" 3."int{(log x-1)/(1+(log x)^(2))}^(2)d...

" 3."int{(log x-1)/(1+(log x)^(2))}^(2)dx" is equal to "

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

int{((ln x-1))/(1+(ln x)^(2))}^(2)dx is equal to

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

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

int(1)/(x(1+log x)^(2))dx is equal to

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

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

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int_(1)^(x) (log(x^(2)))/(x) dx is equal to

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