Question

Integrate

Answer 1

\[\Huge \int\limits \frac{e^{\sin x}}{x}\]

Answer 2

dx

Answer 3

This is the whole question..
\[Let~\frac{d}{dx}(F(x))=\frac{e^{\sin x}}{x},x>0.~If ~\int\limits_1^4\frac{2e^{\sin x^2}}{x}dx=F(k)-F(1)\]
then one of the possible values of k=?
1)4
2)-4
3)16
4)None of these.

I just thought that we should first find F(x) from the 1st information then use it in the latter?Any other easier method?

Answer 4

its done now @sauravshakya

Answer 5

You mean its solved???

Answer 6

yes

Answer 7

anyway,a seperate question is e^sinx integrable?