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AP Calculus BC/Unit 8: Applications of Integration
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Area Between Two Curves
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Which of the following is an example of correctly setting up the integral to find the area between the curves $$f(x)=5*x-x^2$$ and $$g(x)=x$$ on the interval $$[0,4]$$?

A

$$\int_{0}^{4}(5*x-x^2)\,dx$$

B

$$\frac{1}{2}\int_{0}^{4}((5*x-x^2)-x)\,dx$$

C

$$\int_{0}^{4}((5*x-x^2)+x)\,dx$$

D

$$\int_{0}^{4}((5*x-x^2)-x)\,dx$$

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