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BS [15 points} Consider the function _;f(x)=.t:4 on the interval [0 , l] . [a] Suppose we divide the interval [0, 1] into :1 equal

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BS [15 points} Consider the function _;f(x)=.t:4 on the interval [0 , l] . [a] Suppose we divide the interval [0, 1] into :1 equal subintervalsl and use right-endpoints to construct a Riemann sum for the function f- Use the sigma notation to 1write an expression for this Riemann sum. You do not need to simplify it. Note that your answer should be explicit and depend on :1 only. It should not include symbols such as f, Ax or ck. {b] Is the Riemann sum obtained in part [a] an overestimate or underestimate of the area between the graph of the function and the x-axis for CI 5x 51 '? Explain. [Answer the question without calculating the exact area.) {o} The Riemann sum obtained in part {a} can be simplified to the following expression: (n+ 1)-(2+1)-(3n2+3n 1) 30114 i 1 Using this simplified expression, calculate the definite integral / x4 dx. {1 Show your work and do not use antiderivatives or the Fundamental Theorem of Calculus

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