I am using a postage function, where C(x)= .37 if 0<x<=1, .60 if 1<x<=2, .83 if 2<x<=3, 1.06 if 3<x<=4, and 1.29 if 4<x<=5.
Is this function integrable? Can you explain why or why not?
Can the definite integral, C(x), be calculated over closed intervals that contain the points of discontinuity. Please explain of how this might be done.
One more thing, for example, what would be an integral of C(x) over interval [0.5, 2] and how this would be calculated?
I am thinking [.60(2)-.60(1)] +[.37(1)-.37(.5)]=.6+.185=.785
I don't think I am even close.
Is this function integrable? Can you explain why or why not?
Can the definite integral, C(x), be calculated over closed intervals that contain the points of discontinuity. Please explain of how this might be done.
One more thing, for example, what would be an integral of C(x) over interval [0.5, 2] and how this would be calculated?
I am thinking [.60(2)-.60(1)] +[.37(1)-.37(.5)]=.6+.185=.785
I don't think I am even close.
