Definite integral as the limit of a Riemann sum
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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
SOLVED:Calculate the following definite integrals by calculating th…
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