Could someone help me with this stupid question? http://www.wolframalpha.com/input/?i=%E2%88%AB%282%2F%281%2Bt^2%29%29%2C+t%3D0..1 I'm trying to figure out how this makes sense, but I can't seem to do it. I can see there's a tangent, but I just don't understand how it works.

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Anonymous Thu Feb 17 00:51:14 2011 No.2550246 [Reply] [Original]

Could someone help me with this stupid question?

http://www.wolframalpha.com/input/?i=%E2%88%AB%282%2F%281%2Bt^2%29%29%2C+t%3D0..1

I'm trying to figure out how this makes sense, but I can't seem to do it. I can see there's a tangent, but I just don't understand how it works.

>>	Anonymous Thu Feb 17 01:22:14 2011 No.2550344 It's an arctan. d/dx arctan(x) = 1/(1+x^2) so the integral of 2/(1+t^2) = 2arctan(t) arctan(1) = 45 degrees = pi/4 2arctan(1) = pi/2 2arctan(0) = 0

>>	Anonymous Thu Feb 17 01:35:14 2011 No.2550398 >>2550344 Thanks a lot man. Not very bright of me, though, sorry!

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