Definite integralsEvaluate the following definite integrals, fi... | Filo
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Evaluate the following definite integrals:\int_{1}^{3} (2x ... | Filo
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Approximating definite integrals with a calculator Consider the following definite integrals. a. Write the left and right Riemann sums in sigma notation for an arbitrary value of n . b. Evaluate each sum using a calculator with n=20,50, and 100 . Use these values to estimate the value of the integral. ∫0^1(x^2 1) d x | Numerade
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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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