Find a tight upper bound for the approximation to $\displaystyle {\int_{{1.79}}^{\pi}}\frac{{\cos{{\left({x}\right)}}}}{{x}}{\left.{d}{x}\right.}$ using the midpoint rule with n = 37.
Note that the second derivative of $\displaystyle \frac{{\cos{{\left({x}\right)}}}}{{x}}$ is a decreasing function on $\displaystyle {1.79}\le{x}\le\pi$. Bound = Preview Question 6  
Include four nonzero digits in your answer.