intergrate [0,infinity] dx/e^x

[kpx001]

can anyone help me intergrate the intergral dx/e^x from 0 to infinity? im sorta clueless how to do this because just u subbing wont work, and im unsure that it would be parts or something. Thanks

 

[Deleted member 4993]

can anyone help me intergrate the intergral dx/e^x from 0 to infinity? im sorta clueless how to do this because just u subbing wont work, and im unsure that it would be parts or something. Thanks

\(\displaystyle \int\frac{dx}{e^x} \, = \, \int e^{-x}dx \, = \, -\int e^{-x}d(-x)\)

How about now.....