Question

how to find integration of e^log( sec x) + e ^ ( log x)???

Answer 1

Hint:
\[e^{\log(\sec{x})}=\sec(x).\]
\[e^{\log(x)}=x.\]

Answer 2

I'm lazy, click on show steps:
http://www.wolframalpha.com/input/?i=Integrate+%28e%5Elog%28sec%28x%29%29+%2B+e%5E%28+log+x%29