Help with improper integral.
I'm going to post it...just a sec...

Question

anonymous · Answer

$$\int\limits_{-\infty}^{\infty}e^-\left[ x \right]dx$$

anonymous · Answer

I know i need to split the intergral negative infinity to zero, and zero to infinity...

anonymous · Answer

I don't understand why in my solutions manual they e^-[x] becomes just e^[x], it's supposed to be absolute value of x btw

anonymous · Answer

Oh wait, for the integral negative infinity to zero they have e^x, but e^-x for the integral zero to infinity...

anonymous · Answer

To get rid of the absolute value sign they rewrote the answer as 2 equations and dealt with the negative n positive values separately. When ur dealing with absolute values of negative numbers another way to write it is to multiply by -1. So when u take e^-[x] for all negative numbers its the same as writing e^x. its the same for e^-[x] and e^-x for positive numbers

anonymous · Answer

download Geogebra