## anonymous 5 years ago Indefinite Integral:

1. anonymous

$\int\limits_{?}^{?} e ^{x} + 4xe ^{2x} / xe ^{x} dx$

2. anonymous

you must specify a bit more is it $\frac {(e^x + 4xe ^{2x} ) } { xe^x}$ or $e^x +\frac{ [ 4xe ^{2x}] } {xe^x}$

3. anonymous

either way it will involve you cancelling factors of e^(x) [ remember that e^(2x) =[ e^(x) ]^2

4. anonymous

if its the first one then you get $\frac{1}{x} + 4e^x$ which can be integrated easily as ln|x| +4e^x +C

5. anonymous

if its the second one then you will get e^x +4e^x = 5e^x which integrates as 5e^x +C