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Calculate accumulated rates of change using definite integral.

Give another example with solutions to emphasize that the definite integral can be used to calculate accumulated rates of change.Use this concept  and explain the steps in detail

Let dV(t)/dt describe the flow rate of water into a tank. Then note the following: Integral(a,b)dV/dt dt = V(b) - V(a), where V(t) is the volume in the tank at time t. V(b) - V(a) gives the amount the tank was filled between times a and b. Explain how this represents an accumulated rate of change in detail

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