`int_(1)^(e)e^(x)((1+xlogx)/(x))dx`

int_(1)^(e) (e^(x) (1+xlog x))/(x) dx

inte^(x)((1+xlogx)/(x))dx=?

inte^(x)((1+xlogx)/(x))dx=?

int(e^(x)(1+xlogx))/(x)dx=

int_(1)^(e) e^(x)((x-1)/(x^(2)))dx=

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

int_(-1)^(1)|x|e^(x)dx

Evaluation of definite integrals by subsitiution and properties of its : int_(1)^(e)(1+xlogx)(e^(x))/(x)dx=...........

int_(0)^(1)(e^(x))/((1+e^(2x)))dx