Queen property on [0,2a] (On [0,2a]: if f(2a−x)=f(x) then double ∫_0^a; if f(2a−x)+f(x)=0 then 0.)

jee-mainjee-advanced

On [0,2a]: if f(2a−x)=f(x) then double ∫_0^a; if f(2a−x)+f(x)=0 then 0.

What each symbol means

SymbolWhat it stands for
aHalf-upper limit

When to use this

Verify symmetry about x=a.