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21:47
YouTube
Calculus Diaries
A Genius Integral Solved with Feynman’s Trick
This integral looks intimidating at first glance, but with Feynman’s trick (differentiation under the integral sign), it collapses into something surprisingly elegant. In this video, we evaluate the integral from 0 to pi/2 of arctan(a*tan(x))/tan(x) dx and show that it simplifies beautifully to pi/2*ln(1+a) for values of a greater than -1 ...
379 views
3 months ago
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