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Chemistry LibreTexts

Untitled Page 28

  • Page ID
    148370
  • Homework Problems

    1. Integrate

    eq_e1172da4.png

    or show that it diverges.

    2. Integrate

    eq_6decf2e0.png

    or show that it diverges.

    3. Integrate

    eq_106d49f0.png

    or show that it diverges.

    4. Integrate

    eq_3b93eb21.png

    or show that it diverges. (solution in the pdf version of the book)

    5. Integrate

    eq_0cf56e62.png

    or show that it diverges. (Problem 15 on p. 99 suggests a trick for doing the indefinite integral.)

    6. Prove that

    eq_9cfe0fe2.png

    converges, but don't evaluate it.

    7. (a) Verify that the probability distribution dP/dx given in example 60 on page 80 is properly normalized.
    (b) Find the average value of x, or show that it diverges.
    (c) Find the standard deviation of x, or show that it diverges.

    8. Prove

    eq_d219b121.png

    (c) 1998-2013 Benjamin Crowell, licensed under the Creative Commons Attribution-ShareAlike license. Photo credits are given at the end of the Adobe Acrobat version.