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16:35
YouTube
Calculus Diaries
Hidden Trig Substitution Trick | Beautiful Integral Solved
In this episode of Calculus Diaries, we solve the integral of 1/((x^2+x+1)sqrt(1+x^2))dx using a trigonometric substitution x = tan(theta). We will have to rely on a genius substitution to solve the integral of cos(x)/(1+cos(x)sin(x)) dx, which is a product of the initial substitution. Watch to the end as I show you the most beautiful trig-sub ...
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