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Here, we'll find the exact area under the curve for f (x) = 5x - x2 over the interval [1, 5] using the limit definition

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Here, we'll find the exact area under the curve for f (x) = 5x - x2 over the interval [1, 5] using the limit definition of a definite integral: b n [ f(a) dac = lim _ f(a*)Ax. For this assignment, we will break that process into steps. Be sure to clearly number your steps on your answer submission and show your work. 1. What is the expression for Ax (this will involve n)? 2. What is the expression for a* if we use a "right hand endpoint (this will involve i and n) 3. Now fill in the limit definition side with this specific information along with our specific function (this will involve a limit, a ), i and n). 4. Use summation properties to rewrite the sum portion of the expression (this should eliminate the z variable). 5. Compute the limit to get the value of the integral (which will be a number)

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