Write an Expression for the Function, F(x), With $f^{\prime}(x)=\sin ^{2} x+\sin x$

Multiple Choice

Write an expression for the function, f(x) , with $f^{\prime}(x) =\sin ^{2} x+\sin x$ and $f(\pi / 3) =8$ .

A) $f(x) =8+\int_{0}^{x}\left(\sin ^{2} t+\sin t\right) d t$
B) $f(x) =\int_{\pi / 3}^{x}\left(\sin ^{2} t+\sin t\right) d t-8$
C) $f(x) =8+\int_{\pi / 3}^{x}\left(\sin ^{2} t+\sin t\right) d t$
D) $f(x) =8-\frac{\pi}{3}+\int_{0}^{x}\left(\sin ^{2} t+\sin t\right) d t$