高分求用Maple做一道微積分的題！ Consider the following function on the interval [0， ；π/2]. f ；（x）=√ ；2x ； ；cos8（2x） （a用中線方法求方程下方區域）Approximate the area under f ；（x）on the given interval using midpoints（中點）with n = 10. （b求定積分）Compute the definite integral of f ；（x）on the interval [0， ；π/2]. （c求絕對誤差）Find the absolute value of the error involved in approximating the area under f ；（x）on the given interval using a Riemman sum with midpoints and n = 10. （d）Using trial and error，determine the smallest number n of subintervals such that the absolute error of the midpoint Riemann sum with respect to the exact value of the area is less than 0.0005. 方程式根號下2x乘以（cos（2x））^8

高分求用Maple做一道微積分的題！ Consider the following function on the interval [0， ；π/2]. f ；（x）=√ ；2x ； ；cos8（2x） （a用中線方法求方程下方區域）Approximate the area under f ；（x）on the given interval using midpoints（中點）with n = 10. （b求定積分）Compute the definite integral of f ；（x）on the interval [0， ；π/2]. （c求絕對誤差）Find the absolute value of the error involved in approximating the area under f ；（x）on the given interval using a Riemman sum with midpoints and n = 10. （d）Using trial and error，determine the smallest number n of subintervals such that the absolute error of the midpoint Riemann sum with respect to the exact value of the area is less than 0.0005. 方程式根號下2x乘以（cos（2x））^8

要使絕對誤差小於0.0005，從以上試算結果可以看出，n的最小值等於5