Mathematics · essential
Trigonometric complementary property on [0,a] for JEE
The fundamental theorem of calculus, properties of definite integrals
Formula
\[\int_0^a f(x)\,dx=\int_0^a f(a-x)\,dx\]
Conditions: \(f\) integrable on \([0,a]\).
Especially with \(a=\frac{\pi}{2}\) or \(\pi\) in trigonometric integrals.