QUESTOES CALC I

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In 0 where a is a positive constant. 461. Compute the integral cos x sin 0 x2 462. Let a be a real number. Compute the integral = adx sin 2x cos a 463. Give an example of a function f : (2,00) (0,00) with the property that 2 is finite if and only if There are special types of integrals that are computed recursively. We illustrate this with a proof of the Leibniz formula.