KING'S PROPERTY SHORTCUT
Integration of [ f(x) ] / [f(a+b-x) + f(x) ] from a to b = (b-a)/ 2
Sample Question from JEE Mains previous year:-
Integration of [ln(x^2)] / [ln(x^2) + ln(36+ x^2 - 12x) ] from 2 to 4 = (4-2) / 2 = 1
JEE Mains August 2021:-
Integration of [ln(x^2)] / [ln(x^2) + ln(484 + x^2 - 44x) ] from 6 to 16 = (16-6) / 2 = 5
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