weekly brilliant problem#3, solving integral by symmetry, IIT JEE mains 2015

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Do math for fun with brilliant.org, https://brilliant.org/blackpenredpen/ ,
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So, I finally have a chance to show you how to solve a definite integral by taking the advantage of its symmetry. Don't just use brute force and integrate all the time (although it might be more fun).
I got this problem from: https://brilliant.org/problems/jee-mains-2015-1530/ , and there are plenty more!!!



integral of log(x)/(log(x)+log(6-x)) from 2 to 4,
integral of sqrt(cot(x))/(sqrt(cot(x))+sqrt(tan(x))),
JEE main 2015 integral,
integral by symmetry,
integral properties,

blackpenredpen,
math for fun

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