Cho hàm số \(f\left( x \right) = \sin 2x\) liên tục trên \(\mathbb{R}\). a) \(\int\limits_0^\pi {f\left( x \right)dx} = 0\). b) Biết \(F\left( 0 \right) = \frac{1}{2}\) thì \(F\left( {\frac{\pi }{2}} \right) = 1\). c) \(\int\limits_0^{\frac{\pi }{2}} {\left( {\cos x - f\left( x \right)} \right)dx = 2} \). d) \(\int\limits_{ - \pi }^\pi {\left| {f\left( x \right)} \right|dx = 4} \).

Cho hàm số \(f\left( x \right) = \sin 2x\) liên tục trên \(\mathbb{R}\).

a) \(\int\limits_0^\pi {f\left( x \right)dx} = 0\).

b) Biết \(F\left( 0 \right) = \frac{1}{2}\) thì \(F\left( {\frac{\pi }{2}} \right) = 1\).

c) \(\int\limits_0^{\frac{\pi }{2}} {\left( {\cos x - f\left( x \right)} \right)dx = 2} \).

d) \(\int\limits_{ - \pi }^\pi {\left| {f\left( x \right)} \right|dx = 4} \).