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

Evaluate: int(e^x(1+xlogx))/xdx

Evaluate each of the following integral: int_e^(e^2)1/(xlogx)dx

int (1+log_e x)/x dx

Evaluate: (i) int(e^x+1)/(e^x+x)\ dx (ii) int1/(xlogx)\ dx

Evaluate : int1/(x+xlogx)\ dx

Evaluate int (dx)/(x+xlogx)

int_1^3 xlogx dx

Evaluate: int1/(xlogx(2+logx) dx

inte^x/(e^x+e^(-x))dx

The integral inte^x(f(x)+f\'(x))dx can be solved by using integration by parts such that: I=inte^xf(x)dx+inte^xf\'(x)dx=e^xf(x)-inte^xf\'(x)dx+inte^xf\'(x)dx=e^xf(x)+C , and inte^(ax)(f(x)+(f\'(x))/a)dx=e^(ax)f(x)/a+C ,Now answer the question: inte^x x^x(2+logx)= (A) e^x x^xlogx+C (B) e^x+x^x+C (C) e^x x(logx)^2+C (D) e^x.x^x+C