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( 3 points ) . Consider approximating the integral 1 ( 5 ) = J , 1 ( x ) d 2 , where the

(3 points). Consider approximating the integral1(5)= J,1(x) d2,where the function f(x)= cos (5). Apply the theorem learned in Section 15.1 and statethe error bound for the numerical approximation of the above integral by the midpoint rule, the trapezoidal rule and the Simpson rule, respectively. (Evaluate explicitly the maximum of

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