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1 ( 3 points ) . Let f ( x ) = Approximate the integralI ( f ) = f ( x ) dx (

1(3 points). Let f(x)=Approximate the integralI(f)=f(x) dx(1)by the midpoint rule, the trapezoidal rule and the Simpson rule, respectively. It is known thatI(f)=. For each quadrature formula, compute the quadrature error En(f)=[(f)- In (f)by comparing the exact integral value with the numerical value obtained (round to 4 decimal digits).

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