please explain step by step if possible
please explain step by step if possible Estimating a definite integral Use a calculator and midpoint...
Objective The usual procedure for evaluating a definite integral is to find the antiderivative of the integrand and apply the Fundamental Theorem of Calculus. However, if an antiderivative of the integrand cannot be found, then we must settle for a numerical approximation of the integral. The objective of this project is to illustrate the Trapezoidal Rule and Simpson's Rule. Description To get started, read the section 8.6 in the text. In this project we will illustrate and compare Riemann sum,...
Programming Assignment - Numerical Integration In MATH 1775 last semester, you used Riemann sums in Excel to approximate the value of the definite integral that represents the area of the region between the x-axis and the graph of 2 5 y xx = − 8 shown below. The purpose of this assignment is to increase the accuracy of such approximations of integrals. Write a program (using java) that uses the Midpoint Rule, the Trapezoid Rule, and Simpson’s Rule to find...
(a) Approximate the definite integral using n-6 equal width subintervals and: the Midpoint Rule. 0 Simpson's Rule. s- 1 ob) Glven that / vd2- 4 tnd ne aboolute valuse of the exact emor to sik deimal pinces In each apprximation trom (e).
3 11 Use Simpson's rule with n=1 (so there are 2n = 2 subintervals) to approximate dx. 1 + x2 The approximate value of the integral from Simpson's rule is (Round the final answer to two decimal places as needed. Round all intermediate values to four decimal places as needed.) 5 Use Simpson's rule with n=4 (so there are 2n = 8 subintervals) to approximate OX dx and use the fundamental theorem of calculus to find the exact value of...
please help with number 15 15. Given the following definite integral, lo x + x dx a. Evaluate the integral using limits, showing all steps: b. Confirm your result by using the rules of integration and the Fundamental Theorem of Calculus: TUUKU U uit alta vi tile region bounded by the following equations (Note that this is an "area between functions" question, and not a question of finding the definite integral): y = 5x - 1 y = 0 x...
please explain and do in matlab Problem 6. Consider the definite integral fo, sin(VE) cos( dz. Use n-100 and n = 300 separately, to find the Riemann sum for this integral. Keep at least four decimal places for your answer Problem 6. Consider the definite integral fo, sin(VE) cos( dz. Use n-100 and n = 300 separately, to find the Riemann sum for this integral. Keep at least four decimal places for your answer
explain please finding volume for solids of revolution by slicing, integrating, and then approximating v ai = (R: (+)?Ar (using Ve="[R(*)?) Question 3.2: As the number of slices increases, the volume of each slice becomes closer and closer to 0. Is it appropriate to think that If this is not the case, offer an explanation. As you may imagine, this procedure would be quite formidable to complete without technology! Thankfully, the result for the exact volume of the solid can...