So I am trying compute ##\displaystyle \int \sqrt{1+x^2}dx##. To start, I make the substitution ##u=\tan x##. After manipulation, this gives us ##\displaystyle \int |\sec u| \sec^2u ~du##. How do I get rid of the absolute value sign, so that I can go about integrating ##\sec^3 u##? Is there an argument that shows that ##\sec u## is always positive or always negative?(adsbygoogle = window.adsbygoogle || []).push({});

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# I Integrating sqrt(1+x^2)

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