Approximate the integral using

(a) The midpoint approximationM_{10} ,

(b) The trapezoidal approximationT_{10} , and

(c) Simpson's rule approximationS_{20} .

(a) The midpoint approximation

(b) The trapezoidal approximation

(c) Simpson's rule approximation

Find the exact value of the integral and approximate the absolute error for each case. Express your final approximation answers to six decimal places.

(a)

(b)

(c)

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