int[((x)/(e))^(x)+((e)/(x))^(x)]ln xdx

Evaluate: int(((e)/(x))^(x)+((x)/(e))^(x))ln xdx

The integral int_(1)^(e){((x)/(e))^(2x)-((e)/(x))^(x)} "log"_(e)x dx is equal to

int(e^xdx)/(1+e^(x))

int(ln(e^(x)+1))/(e^(x))dx

Evaluate b int_(1)^(e){(1+x)e^(x)+(1-x)e^(-x)}ln xdx

int_ (e^(e))^(e^(e^(e))) (dx)/(x ln x*ln (ln x) ln (ln (ln x)))

int_ (e^(e))^(e^(e^(e))) (dx)/(x ln x*ln (ln x)*ln (ln (ln x)))

A: int e^(x)((1+x log x)/(x))=e^(x)log x+c R: int e^(x)[f(x)+f'(x)]dx=e^(x)f(x)+c

Evaluate int((e^(x)-e^(-x))/(e^(x)+e^(-x)))dx and the value is (A)log|e^(x)+e^(-x)|(B)log|e^(x)+e^(-x)|+k(C)log|e^(x)-e^(-x)|+k(D) none of these

int (e^(x)+e^(-x))/((e^(x)-e^(-x)) log sin hx)dx=