In this limit the right-hand side of (4.10a) tends to I D 1p2 Z b a dx ex22: (4.10b) This is easily verified by.

ex2 Find the derivative of the numerator and denominator. integral by p 2 N and let N go to infinity. \( \newcommand(x-a)^i(y-b)^j \nonumber\]ġ0) Determine the new terms that would be added to \(P_3(x,y)\) (which you found in Exercise 13.7.1) to form \(P_4(x,y)\) and determine the fourth-degree Taylor polynomial for one of the functions we've considered and graph it together with the surface plot of the corresponding function in a 3D grapher like CalcPlot3D to verify that it continues to fit the surface better. The Definite Integral Calculator finds solutions to integrals with definite bounds.