Mathematics · essential
Symmetry property with x to a+b-x for JEE
The fundamental theorem of calculus, properties of definite integrals
Formula
\[\int_a^b f(x)\,dx=\int_a^b f(a+b-x)\,dx\]
Conditions: \(f\) integrable on \([a,b]\).
JEE symmetry-based definite integral simplification.