Question

evaluate I=integral of (a^x)(e^x)dx

Answer 1

\[\int\limits\limits_{}^{} a^{x}e^{x}dx\]

Answer 2

change the a^x = e^(xlna) then combine that with e^x

Answer 3

as dpalnc said
\[\huge{a^x=e^{\ln(a^x)}}\]so\[\huge{a^x=e^{xlna}}\]Now the integral becomes\[\huge{\int\limits{e^{xlna}e^x}dx}=\int\limits{e^{x(lna+1)}dx}\]