please help with these questions on functions defined by integrals

The graph of f is shown above. If F (x) = I; f (t) (it, which ofthc following graphs best represents the graph of F [x] '? .9 D .'_. 2. At which of the following points will F (33) = f: f (t) dt always be equal to zero? 3. At a certain construction site, the rate at which dirt is being extracted from a hole (in tons of dirt per hour) by an excavator is is dened as D (t) : sin(t) cos(t) + gt. At the same time, a dump truck is removing the dirt from the construction Site. The rate at which the dump truck removes the dirt is dened as R (t) : sin(t) cos(t) + it? If the excavators begin digging and the dump truck begins removing dirt at the same time (t = 0), at what time is there no more dirt left for the dump truck to remove? Let 0 g t g 4. O 2.449 hours 0 1.732 hours 0 3.464 hours 0 0.892 hours 0 3.799 hours