1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Integral (with respect to d(z/σ))

  1. Nov 4, 2011 #1
    Hello all,

    I have uploaded a .gif of the integral. The limits are just values, as I know what d,h, and σ1 are. d and h are the lower and upper limits defined for the probability distribution function and σ1 is the standard deviation.

    I have not seen this type of integral before, I am not sure how I can evaluate this numerically as I need to do this with respect to d(z/σ))?

    This is on a research paper I am currently reviewing, Can anyone help?


    Attached Files:

  2. jcsd
  3. Nov 4, 2011 #2

    Simon Bridge

    User Avatar
    Science Advisor
    Homework Helper

    why not substitute [itex]u=z/\sigma_1[/itex] ?
  4. Nov 4, 2011 #3
    Would that help me to integrate this between the numerical limits of d/σ1 and h/σ1? Sorry still confused, could you explain further. Thanks.
  5. Nov 4, 2011 #4

    Simon Bridge

    User Avatar
    Science Advisor
    Homework Helper

    If that's what you want to do.
    Of course you'd have to substitute for the limits as well.

    if you integrate from z=a to z=b but you make the the substitution in the integrand that u=f(z) then what happens to your limits?

    But - if u = z/s, what is dz/du ? what is d(z/s)/du ? Put du = ... for each. Compare.
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Discussions: Integral (with respect to d(z/σ))
  1. Integrate d/dx(x^2) (Replies: 4)

  2. Integration of d^3 k (Replies: 2)