This problem is concerned with evaluating some improper integrals. In particular you will use an ...
Summer Assignment 4: Problem 1 Previous Problem List Next (1 point) Call an improper definite integral type 1 if it is improper because the interval of integration is infinite Call it type 2 if it is improper because the function takes on an infinite value within the interval of integration. Classify the type(s) for each of the following improper integrals. ? 1. - ** sec(a) de 2 ? v 2. so I dar 2 - 53 +6 0 ? v...
Help on number 2 A-C Math 166 Spring 2020 Lab 12 - Integration Strategies and Improper Integrals 1. Evaluate the following integrals. (a) | In(x2 + 2a) dx 100 dx (8) Jo Je to (1) ["* sin(a) Vsee(2) de 5 1 11 x² – 2x – 3 dx 87/2 13 x(lnx)2 de (c) / tarda (1) [4x*e*** de 2. For what values of p do the following improper integrals converge? (1/2 da (0) Le 2 In () Jo 3. Give...
0/5 points I Previous Answers 2 Use the flow charts for line integrals and surface integrals to help you decide the best way to find the answer to the following problem Let C be the curve of intersection of x y 4 and x2yv), oriented in the clockwise sense as viewed from the origin. Evaluate y,z, x) dr -167 0/5 points I Previous Answers 2 Use the flow charts for line integrals and surface integrals to help you decide the...
Problem 13. You don't have to use the Weierstrass substitution for trigonometric integrals. Sometimes you can find a substitution that works more easily (fewer steps) than the Weierstrass. By "trigonometric integral", I mean the integral of a rational function of sine and cosine. You can use the Weierstrass substitution with integrals like SVsin(@) de, but you won't get an integrand having an "elementary" antiderivative. However, the Weierstrass substitution always yields an integral we can evaluate explicitly, whereas an ad-hoc flavor-of-the-day...
6. In this problem you will learn how to use Dirac delta functions to solve integrals and define densities of point charges. (a) Using the definition of Dirac delta function, evaluate the following integrals 15) 产00 (i) (4x2-8x-1) δ(x-4) dx (ii) sin x δ(x-π/2) dx x3 δ(x + 3)dx In(x + 3)δ(x + 2)dx (b) What is the volume charge density of an electric dipole, consisting of a point charge -q at (c) What is the integral of this charge...
(a) Evaluate the double integral 4. (sin cos y) dy dr. Hint: You may need the formula for integration by parts (b) Show that 4r+6ry>0 for all (r,y) ER-(x,y): 1S2,-2Sysi) Use a double integral to compute the volume of the solid that lies under the graph of the function 4+6ry and above the rectangle R in the ry-plane. e) Consider the integral tan(r) log a dyd. (i) Make a neat, labelled sketch of the region R in the ry-plane over...
solutions are labeled a to c at the bottom. can you explain what the r stands for. I'm assuming x2 + y2 Write iterated integrals for each of the given caleu- Question 7 (5 pts each] lations. Do not evaluate. (A) The integral of f(x,y) 32 + 12y over the domain D: +20 (B) The integral of f(x, y,) first octant and below the graph z 8-y 2 (C) The mass of an object occupying the region bounded between the...
Evaluate the following integrals (from A to E) A. Integration by parts i) ſ (3+ ++2) sin(2t) dt ii) Z dz un (ricos x?cos 4x dx wja iv) (2 + 5x)eš dr. B. Involving Trigonometric functions 271 п i) | sin? ({x)cos*(xx) dx ii) Sco -> (=w) sins (įw) iii) sec iv) ſ tan” (63)sec^® (6x) dx . sec" (3y)tan?(3y)dy C. Involving Partial fractions 4 z? + 2z + 3 1) $77 dx 10 S2-6922+4) dz x2 + 5x -...
use mathematica pls (i’ll rate) thanks Discovery Project: Patterns of Integrals Due date: July 3,2019 Maximum points: 25 Directions: In this project a computer algebra system (mainly Mathematica) is used to investigate integrals of families of functions. By observing the patterns that occur in the integrals of several remembers of the fam ily, you will first guess and then prove, a general formula for the integrals of a member of the family. You will turn in all the commands (formulas...