`I=int ((ln x-1)/((lnx )^(2)+1))` dx is equal to:

int((lnx-1)/((lnx)^(2)+1))^2dx is equal to

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

int x ^(x)((ln x )^(2) +lnx+1/x) dx is equal to:

int(e^(x)(x-1)(x-lnx))/(x^(2))dx is equal to

inte^(3 log x ) (x^(4)+ 1) ^(-1) dx is equal to

Column I, a) int(e^(2x)-1)/(e^(2x)+1)dx is equal to b) int1/((e^x+e^(-x))^2)dx is equal to c) int(e^(-x))/(1+e^x)dx is equal to d) int1/(sqrt(1-e^(2x)))dx is equal to COLUMN II p) x-log[1+sqrt(1-e^(2x)]+c q) log(e^x+1)-x-e^(-x)+c r) log(e^(2x)+1)-x+c s) -1/(2(e^(2x)+1))+c

int_(0)^(infty)f(x+(1)/(x)) (ln x )/(x)dx is equal to:

int(log(x+1)-logx)/(x(x+1))dx is equal to :

The value of int x log x (log x - 1) dx is equal to

int (x^(2)(1-"ln"x))/(("ln"^(4)x-x^(4))dx is equal to