Cho hàm số \(f\left( x \right)\) có \(f\left( 0 \right) = 0\) và \(f'\left( x \right) = {\sin ^4}x\,\,\forall x \in \mathbb{R}\). Tích phân \(\int\limits_0^{\frac{\pi }{2}} {f\left( x \right)dx} \) bằng:
A.\(\dfrac{{{\pi ^2} - 6}}{{18}}\)
B.\(\dfrac{{{\pi ^2} - 3}}{{32}}\)
C.\(\dfrac{{3{\pi ^2} - 16}}{{64}}\)
D.\(\dfrac{{3{\pi ^2} - 6}}{{112}}\)
A.\(\dfrac{{{\pi ^2} - 6}}{{18}}\)
B.\(\dfrac{{{\pi ^2} - 3}}{{32}}\)
C.\(\dfrac{{3{\pi ^2} - 16}}{{64}}\)
D.\(\dfrac{{3{\pi ^2} - 6}}{{112}}\)
Loga
Hóa Học lớp 12
