Approximate the integral using: (a) the right R10, left L10, and the midpoint M10 rectangular rule approximation, (b) the trapezoidal approximation T10, and (c) Simpson's rule approximation S10. In each case, find the exact value of the integral and approximate the absolute error. Express your answers to at least four decimal places. a. f sin (x) dx b. ₁²e-2x dx c. 1/(3x + 1) dx

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