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SOLVED:Calculate the following definite integrals by calculating the limit of Riemann sums. You'll need to use the formulas provided. Check your answers using the Fundamental Theorem of Calculus. (a) ∫0^5 x d x 1 2 3 ⋯ n=(n(n 1))/(2) (b) ∫0^5 x^2 d x 1^2 2^2 3^2 ⋯n^2=(n(n 1)(2 n 1))/(6) (c) ∫0^2 x^3 d x 1^3 2^3 3^3 ⋯n^3=[(n(n 1))/(2)]^2
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