Numerical Approximation of Integrals
Robert is approximating the integral using a right Riemann sum. If Robert takes the limit of the right Riemann sum with infinitely many intervals, what is the resulting approximation?
Stephanie is approximating the integral on intervals using either a Riemann sum or the Trapezium rule. What would happen if she uses intervals instead of
Max is applying the Trapezium rule to approximate using intervals. What would happen if he uses intervals instead of
In using a Riemann sum to approximate an integral, the larger the number of intervals, the more accurate the approximation. If we are approximating using a left Riemann sum, what is the minimum number of intervals needed in order to make the error less than
Rebecca is approximating the integral using the Trapezium rule. If Rebecca takes the limit of the number of intervals to infinity, what is the approximation she obtains?