Fairly simple integral question.

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The discussion revolves around a calculus integral problem that the poster finds challenging after a long break from the subject. They seek assistance in evaluating the integral of one function by using the integral of another. Respondents suggest using integration by parts and recalling the definition of improper integrals as potential strategies for solving the problem. The poster acknowledges the advice and expresses gratitude for the help. Overall, the thread highlights a collaborative effort to tackle a specific integral question in calculus.
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Homework Statement



It should be fairly easy according to classmates, yet its definitely been a while since I've had calc.

Took a pic of the problem.

http://img408.imageshack.us/img408/7281/0218092206ei3.jpg
Sorry the image is a little dark, it says find the integral of the first one, by evaluating the integral of the second one. ?

The Attempt at a Solution



This isn't really a homework assignment, I have notes scattered throughout. Figured I'd post it in this section anyway, I'm really just trying to remember how to do half this stuff.

THANKS!
 
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I'm not sure which question you wanted help on.

Do you remember how improper integrals are defined?

Try integration by parts on the first question and see if you can find a general formula for the integral?
 
Thanks I'll definitely check it out.

Sorry the image was a little dark, its one question. It says find the integral of the first one, by evaluating the integral of the second one. ?
 
Question: A clock's minute hand has length 4 and its hour hand has length 3. What is the distance between the tips at the moment when it is increasing most rapidly?(Putnam Exam Question) Answer: Making assumption that both the hands moves at constant angular velocities, the answer is ## \sqrt{7} .## But don't you think this assumption is somewhat doubtful and wrong?

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