`int e^(xloge^a)`dx

If a gt0 and a!=1 evaluate the following integrals: (i) int e^(xlog_(e)a)dx (ii) int e^(alog_(e)x)dx (iii) int e^x a^xdx (iv) int 2^(log_(e)x)dx

int (e^(xloga)+e^(alogx))dx

inte^(xloga).e^(x)dx is equal to

Evaluate int 5^(log _(e)x)dx

inte^(xlna)*e^x dx

int e^(2x)dx

inte^xcos(e^x+2)dx

int log_e xdx = int 1/(log_x e) dx =

int e^x sin(e^x) dx

int cos (log_e x)dx is equal to