I cannot for the life of me figure this out. Please help me.
How do I integrate the function f(x) = 0.1 * e ^ (-0.2 * |x|) from neg. Infinity to pos. Infinity?
I seem to only be able to get 0, but the answer is 1. I think it is the |x| that is throwing me off. Please Hlep!
Integrate it in two parts: minus inf to zero, and zero to inf. On the negative side, change the sign of the exponent, just as the abs value sign did.