Cho hàm số \(f\left( x \right).\) Biết \(f\left( 0 \right) = 4\) và \(f'\left( x \right) = 2{\cos ^2}x + 1,\,\,\forall x \in \mathbb{R},\) khi đó \(\int\limits_0^{\dfrac{\pi }{4}} {f\left( x \right)dx} \) bằng:
A.\(\dfrac{{{\pi ^2} + 4}}{{16}}\)
B.\(\dfrac{{{\pi ^2} + 14\pi }}{{16}}\)
C.\(\dfrac{{{\pi ^2} + 16\pi + 4}}{{16}}\)
D.\(\dfrac{{{\pi ^2} + 16\pi + 16}}{{16}}\)
A.\(\dfrac{{{\pi ^2} + 4}}{{16}}\)
B.\(\dfrac{{{\pi ^2} + 14\pi }}{{16}}\)
C.\(\dfrac{{{\pi ^2} + 16\pi + 4}}{{16}}\)
D.\(\dfrac{{{\pi ^2} + 16\pi + 16}}{{16}}\)
Loga
Hóa Học lớp 12
