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March 28, 2015

Homework Help: Calculus

Posted by Parker on Tuesday, July 3, 2012 at 6:03pm.

"Leave the answer as a definite integral, but indicate how it could by evaluated by using the fundamental theorem of calculus."

I solved the problem to a definite integral. Proceeding via the fundamental theorem, would involve finding the indefinite integral (or antiderivative). I can use a computer program to do this, but I don't see a reasonable way to do this by hand. Any suggestions? thanks!

$\int_1^2 \frac{2\pi}{x} \sqrt{1 + \frac{1}{x^4}} \, \diff x$

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