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A calculus iii laboratory assignment focusing on the application of riemann sums and definite integrals to calculate areas under curves. It includes exercises involving the calculation of areas using riemann sums and the evaluation of definite integrals using the fundamental theorem of calculus. Suitable for university students studying calculus iii and provides practical examples to reinforce theoretical concepts.
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1. Haciendo uso de Sumatorias de Riemann , hallar el área de la región, limitada por… a) y = 3x + 1, x = – 1 , x = 3, y = 0
b) y = x^2 + 2, x = – 2, x = 2, y = 0
2. Resolver las siguientes integrales definidas.
b) y = 4 – x^2 , x = – 2, x = 2, y = 0