Can someone please show me step by step how to normalize e^-5x in the interval (0, infinity)?

Question

I have read a lot of different books etc but need it explained to me in plain English or showed to me step by step because I am just not getting it.

Thank you

Answer 1

I assume you mean make the area under the curve 1.0 in the interval.

Area=Constant*INT e^-5x dx from 0 to infinity
1.0=constant* (-1/6 e^-6x ) over the limits

1.0= constant*1/6(e^0 -e^-inf)

6= constant.
check my work, My mind today is wavering, allergy meds today.

Answer 2

Hi Bob,

Thank you for responding so quickly. And sorry to hear about your allergies. They are not fun! The exact question was : normalize the following functions in the interval 0 to infinity: a) e^-5x. The answer my instructor has is 10^1/2 e ^-5x as the answer but I don't know how he got to that answer. Any ideas?