Definite Integration: quiz

Area under y = f(x) (sign)

Area between two curves

Leibniz rule: variable limits

Leibniz with x inside integrand

Fundamental Theorem of Calculus

King property (a+b−x)

∫_0^a f(x)dx = ∫_0^a f(a−x)dx

Even–odd on symmetric interval

Queen property on [0,2a]

Periodic function integration

Wallis integral: sine power on [0,π/2]

Gamma relation (JEE context)

Beta–Wallis link (recognition)