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Integral Test & p-Series

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Uploaded by on Jun 2, 2010

A Walkthrough of the integral test and p-series for calculus

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Education

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  • mate,, u really shouldn't mislead others when u know very well there is no such integration of one to infinity!! Teach the correct procedure,,,, use limits and a constant 't' so it can approach infinity. otherwise, well done.

  • thanx dude this helped a lot!

  • @mpatt79 Yep

  • Thank you, this has been very useful and easy to understand.

  • @DazzTyler ?

  • @DazzTyler THEN WHO AM I BECAUSE I THOUGHT I WAS MATT DAMON?!

  • @corzocl YES HE IS GODDAMIT! YES HE IS! LEAVE HIM ALONE.

  • TO MUCH CAMERA SHAKE! THIS ISNT THE BOURNE IDENTITY! YOU AINT MATT DAMON!

  • @tadm123 When the derivative is negative, the original function decreases.

    For the first problem, since the denominator was squared, it's always positive, so the derivative is negative wherever -2n is negative. Since n, in this case, is in the positive integers, -2n is always negative, so it's always decreasing in the domain.

  • @tadm123 you have to find the critical points. most likely problems will have a critical point that ends up being less than one (but not always.) then, take any point thats larger than that critical point and find what the derivative is at that point. if it's less than 1 you know that its decreasing on the entire interval (cp, infinity) and b/c you have no other critical points.

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