Integral test Definition and 54 Threads

  1. K

    Integral test, basic comparsion test, limit comparsion test

    1) http://www.geocities.com/asdfasdf23135/calculus02.JPG This question comes from a section (infinite series) related to the integral test, basic comparsion test, and limit comparsion test, so I believe that I have to use one of them. However, I seriously have no idea how to prove this...can...
  2. M

    How can I set proper limits for a double integral?

    *This was accidently posted in the 'Calculus & Analysis' section. Moderators can delete that one. Sorry.* I took a test today. I wanted to know if I set my limits up correctly and got the right answer, because I've been having problems with that. Okay, here is the question: A space is...
  3. M

    How can I improve my limit-setting skills for double integrals?

    I took a test today. I wanted to know if I set my limits up correctly and got the right answer, because I've been having problems with that. Okay, here is the question: A space is bounded by x = 0, y = 0, xy-plane, and the plane: 3x + 2y + z = 6. Find the volume using a double integral...
    • mkkrnfoo85
    • Thread
    • Double integral Integral Integral test Test
    • Replies: 2
    • Forum: Calculus
  4. 3

    Integral Test for \sum^{\infty}_{n=2} \frac{1}{n(ln\;n)^{2}} - 0.01

    How many terms of the series \sum^{\infty}_{n=2} \frac{1}{n(ln\;n)^{2}} would you need to add to find its sum to within 0.01? Here's what i got: let f(n) = \frac{1}{n(ln\;n)^{2}} . Since f(n) is continuous, positive and decreasing for all n over the interval [2,\infty] , we can use...