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Applying the Fundamental Theorem of Calculus

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The accumulation of interest on an investment from year $$t=1$$ to year $$t=4$$ is modeled by the definite integral $$\int_{1}^{4} 0.05*t\,dt$$. According to the Fundamental Theorem of Calculus, which of the following expressions represents the value of this integral?

A

$$\frac{0.05}{2}*(4-1)$$

B

$$0.05*(4^2-1^2)$$

C

$$\frac{0.05}{2}*(4^2+1^2)$$

D

$$\frac{0.05}{2}*(4^2-1^2)$$

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