int x^(x)(1+log_(e)x)dx" is equal to "

int(x^(x))^(x)(2x log_(e)x+x)dx is equal to

int(1)/(x)(log_(ex)e)dx is equal to

int e^(x log a) e^(x) dx is equal to

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

The value of int e^(x log a)*e^(x)dx is equal to -

int_(1)^(e)(e^(x)(x log_(e)x+1))/(x)dx is equal to

int e^(x log a ) e^(x) dx is equal to :

int e^(x log a ) e^(x) dx is equal to A) (a^(x))/( log ae) + C B) ( e^(x))/( 1+log a ) + C C) ( ae )^(x) +C D) ((ae)^(x))/( log ae) +C

int 1/x(log_(ex)e)dx is equal to

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