Evaluate the Integral Using the Average Ordinate Method, the Trapezoid $\int_{0}^{\frac{\pi}{4}} \sec^{2} x d x$

Short Answer

Evaluate the integral using the average ordinate method, the trapezoid rule, or Simpson's rule.
Choose ten panels of equal width. Check you answer by integration. $\int_{0}^{\frac{\pi}{4}} \sec^{2} x d x$