" (iv) "int2^(log_(e)x)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^(log_(e)x)dx

If a>0 and a!=1 evaluate the following integrals: int e^(x)a^(x)dx (ii) int2^((log)_(e)x)dx

int(e^(log_(e)x))/(x)dx

int(e^(log_(e)x))/(x)dx

int(e^(log_(e)x))/(x)dx

int log_(e)x^(2)dx

int e^(a log_(e)x)dx

int log_(e)(1+x)dx

int sin(log_(e)x)dx