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Continuity, Primitives and Simpson's Approximation

(a) The function 1/t is continuous on the given interval, therefore integrable. The primitive is log(t). The primitive of exp(t) is exp(t). Therefore the integrals are:
(b) The primitive of -cos(x) is -sin(x) anf the primitive of x is x2/2, therefore the integral equals:
(c) We apply the so called Simpson's approximation:

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(a) The function 1/t is continuous on the given interval, therefore integrable. The primitive is ...

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