Brilliant integral by symmetry

Do math for fun with brilliant.org, https://brilliant.org/blackpenredpen/ , first 200 people to sign up will get 20% off your subscription, and you can support my channel too! So good! , 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-ma... , 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, IIT JEE, integral by symmetry, integral properties, blackpenredpen, math for fun