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

int(log_e(x+1)-log_ex)/(x(x+1))dx is equal to (A) -1/2[log(x+1)^2-1/2logx]^2+log_e(x+1)log_ex+C (B) -[(log_e(x+1)-log_ex]^2 (C) c-1/2(log(1+1/x))^2 (D) none of these

int (f'(x))/( f(x) log(f(x)))dx is equal to

int_0^1log(1/x-1)dx is equal to

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

int_(0)^(infty)f(x+(1)/(x)) (ln x )/(x)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

The value of int_(log1//2)^(log2)sin{(e^(x)-1)/(e^(x)+1)}dx is equal to

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

The integral int_(2)^(4)(logx^(2))/(logx^(2)+log(36-12x+x^(2))) dx is equal to