Use partial fractions, completing the square, and/or integration tables to find the following definite integrals (make it clear which method you use)
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Use partial fractions, completing the square, and/or integration tables to find the following definite integrals (make...
PLEASE ANSWER ONLY #13. THANK YOU! 804 CHAPTER 13 Definite Integrals: Techniques of Integration EXERCISES 13.2 37. In the figures, D) has the area (a) (W) de Evaluate the definite integrals in Problems 1-32. 1. for de 2 (Bxdx 4 2dy 5. (dx 6 Izde 7. 36 de 9. (10 - 4x) dx 10. (8x – 9) dix 11. C'ex-? - 5x) dx 12. f**-5x + 2x) dx 13. Lavras 14. (Vada 15 ligdy 16. 17. / - 4) da...
Question 5 (0.5 points) Use an integration by parts to find which of the following integrals is equivalent to In(22 - 2 + 2)dx In(x2 – 3+2)+ | J 2x2 – 3 2 - 2 + 2 zin(c? – + 2) - Sen todo xln(x2 – 2 +2)+%22277, da xln(x² – 2+2) + 2x2 – 3 1 x² – x+2
Use the method of completing the square to find the partial fraction expansion and inverse transform. F(s) = (s+4)/(s^3+4*s^2+s)
Integrate ex- - 8x + 18 dx by using the partial fractions method. Which of the following is correct? x2-9x + 20 4 AS**** *28 dx = S** 5 Ox x2 - 8x + 18 J XP-9x + 20 +- - 4 X - X - 5 oc s***8* * 28 dx=51-x katika O B. None of the other choices given is correct. px? - 8x + 18 2 72-9x + 20 ( - 4 x -504 -5 x2 -...
Use the method of completing the square to find the standard form of the quadratic function. f(x) = x2 - 8x + 5 y = State the vertex and axis of symmetry of the graph of the function. axis of symmetry X = vertex (x, y) = Sketch the graph. 30 Graph Layers 27 24 21 After you add an obje can use Graph Layers properties. 18 15 -12 Fill 19 6 3 -30 -27 -24 -21 -18 -15 -12...
x2-x+6 x3 +3x 7./Use the Apart command to decompose i into partial fractions. Question: which case is this?? Now find the antiderivative of each fractional expression by hand. Note: you will need to split apar of your fractions even further. You may use any of the shortcuts mentioned in Appendix G work below. t one . Show all x2-x+6 x3 +3x -11xs+914-222xx+39x+2 dx 8. Find the antiderivative: 3x6 -11x5 +9x4 -2x3 -x2 +9x -7 Make use of the Apart command,...
Please only do d,h,i Thanks! a. c. 25.5. Using the tables and partial fractions, find the inverse Laplace transform for each of the following: 75+5 5-1 b. (8 + 2)(s - 1) 52 - 7s + 12 3s2 +65 +27 d. f. 53 +9s $3 - 452 54-81 582 + 6s - 40 253 +352 +2s +27 652 +62s +92 h. i. (s + 6) (s2 +16) (52 + 9) (52 + 1) (5 + 1) (52 + 108 +21)...
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...
Can I please get help with these! 10. Using the indicated techniques to evaluate the following integrals. Show work detail to support your solutions. Solving using other methods or with no detail is not acceptable. dx (a) STI-4x2 (Trigonometric substitution) r? S16x² (b) (Trigonometric substitution) (c) ſrº In xdx (Integration by Parts) 11. Complete the square in the denominator, make appropriate substitution, and integrate. Sz10 -dx 12. Find the partial fraction decomposition for the rational 5 function (u – 2)(u...
2. Evaluate the following indefinite integrals: (a) vel V=(x+2) dx ET (b) 3. Evaluate the following definite integrals: (a) cos(x) da (sin(x) +18 (b) COS 4. The graph of y=g(t) is shown below, and consists of semicircles and line segments. y=g() -1 3 6 596 s(t) dt Define the function f(x) by f(x)= Use the graph of y = g(t) and the properties of the definite integral to find: (a) the value of (i) f(3) (ii) f(-1) (iii) 1'(6) (b)...