Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

B What is the integral of 1/2sin(2pi/n)(r^2-z^2) dz

Tags:
  1. Jun 27, 2016 #1

    Guest432

    User Avatar

    The answer here shows the answer as being

    main-qimg-a155679717f734547cfb33eb9ca1c77d.png
    but my limited knowledge of integrals begs me to asks where did the z go?
     
    Guest432, Jun 27, 2016
  2. jcsd
    Phys.org - latest science and technology news stories on Phys.org
  3. Jun 27, 2016 #2

    fresh_42

    User Avatar
    Insights Author

    Staff: Mentor

    If ##F(z)## is the antiderivative of ##f(z)##, i.e. ##F'(z) = \frac{d}{dz} F(z) = f(z)## then ##\int_0^R f(z)dz = F(R) - F(0)##.
    Since ##F(0) = 0## in your example, only ##F(R)## is left. It is called the fundamental theorem of calculus.
     
    fresh_42, Jun 27, 2016
  4. Jun 27, 2016 #3

    BiGyElLoWhAt

    User Avatar
    Gold Member

    Well, in definite integrals, you have a constant as the answer, not a function of the variables.
     
    BiGyElLoWhAt, Jun 27, 2016
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted



Similar Discussions: What is the integral of 1/2sin(2pi/n)(r^2-z^2) dz

  1. Integrate sqrt(2+2sin(x)) ? (Replies: 6)

  2. Integral of (z^2)dz around a semi-circle in the y >= 0 region. (Replies: 9)

  3. Contour integral of dz/(z-w)^n (Replies: 5)

  4. Integration of 1/(a^2sin^2(x)+b^2cos^2(x))^2) (Replies: 4)

  5. Integrating to get r^2 = l^2 + a^2 (Replies: 3)

Loading...