evaluate the improper integral whenever it is convergent

∫0,-00 1/(4-x)^(3/2) dx

2 answers

What are the limits? The following is not clear.

-00
∫ dx/(4-x)(3/2)
0
Ooh, I get it. its from 0 to -∞ (or -inf if you want)

-∞
∫ dx/(4-x)(3/2)
0
Proceed with normal integration
=[2/sqrt(4-x)] from 0 to -∞
=[2/sqrt(4-(-inf)) - 2/sqrt(4-0)]
=[0 - 2/2)
=-1