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

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

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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((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=

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

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

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