Find a tight upper bound for the approximation to 1.33πcos(x)xdx\displaystyle {\int_{{1.33}}^{\pi}}\frac{{\cos{{\left({x}\right)}}}}{{x}}{\left.{d}{x}\right.} using the midpoint rule with n = 41.
Note that the second derivative of cos(x)x\displaystyle \frac{{\cos{{\left({x}\right)}}}}{{x}} is a decreasing function on 1.33xπ\displaystyle {1.33}\le{x}\le\pi. Bound =  
Include four nonzero digits in your answer.