## Question

###### Approximate the integral using (a) the midpoint approximation $M_{10},$ (b) the trapezoidal approximation $T_{10},$ and $(c)$ Simpson's rule approximation $S_{20}$ using Formula (7). In each case, find the exact value of the integral and approximate the absolute error. Express your answers to at least four decimal places. $\int_{4}^{9} \frac{1}{\sqrt{x}} d x$

Approximate the integral using (a) the midpoint approximation $M_{10},$ (b) the trapezoidal approximation $T_{10},$ and $(c)$ Simpson's rule approximation $S_{20}$ using Formula (7). In each case, find the exact value of the integral and approximate the absolute error. Express your answers to at least four decimal places. $\int_{4}^{9} \frac{1}{\sqrt{x}} d x$

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