11:52 AM Wed Nov 20 . 1 87% Blackboard Evaluate the following definite integrals: 69}(x?+ 1dt...
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)...
Q3 1. For the following, in (a) sketch the graphs of the functions and in (a) and (b) find the areas as indicated (a) the area bounded by y = f(x) = x2 - 4x + 5 and y = g(2) = 2x - 3. (b) the area of the region that is common to r= 3 cos(0) and r = sin(). See sketch below. 2. Consider the region bounded by y? = 4, y = 2 and r =...
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...
Complex analysis question (2) please 2:30 PM Wed May 1 Not Secure files.isec.pt 301 4.3 Evaluation of Definite Integrals where (w) adr. We know from the Gaussian integral that 1(0) V2π, so our conclusion will follow if we can show that I(W) 1(0) for every real w. To see this, consider the integral of g(z) = e-z2/2 around a rectangle Г = 1 + 11 + 111 + IV such as that shown in Figure 4.3.10 IV Figure 4.3.10: Contour...
Question 2 (Learning Outcome 2) 0 S (*x+3) dx S A) Evaluate the following integrals. 4x+7 2x+5) 5x2–2x+3 (ii) dx (x2+1)(x-1) x2+x+2 (iii) S3x3 –x2+3x+1 dx dx (x+1)V-x-2x In (x) dx (iv) S x2 X+1 (vi) S dx (1+x2) (vii) S dx x(x+Inx) (viii) Stancos x) dx (ix) 30 Sin3 e*(1 + e*)1/2 dx dx 2 sin x cos x (x) S B) Find the length of an arc of the curve y =*+ *from x = 1 to x...
Please question 4 complex analysis course 2:30 PM Wed May 1 Not Secure files.isec.pt 301 4.3 Evaluation of Definite Integrals where (w) adr. We know from the Gaussian integral that 1(0) V2π, so our conclusion will follow if we can show that I(W) 1(0) for every real w. To see this, consider the integral of g(z) = e-z2/2 around a rectangle Г = 1 + 11 + 111 + IV such as that shown in Figure 4.3.10 IV Figure 4.3.10:...
6.a) Let -2 5 -6 10 ), 2) an Evaluate the matrix 8 marks) b) Find the area enclosed between the following curves and sketch the region. 5x2-2. f(x)--3x2 + 30 and g(x) marks) c) Evaluate the following integrals. Give your answers to 2 decimal places. dac i) 2 (3+2 dx. (8 marks) [25 marks] 6.a) Let -2 5 -6 10 ), 2) an Evaluate the matrix 8 marks) b) Find the area enclosed between the following curves and sketch...
6: Problem 1 Previous Problem Problem List Next Problem (2 points) Let f(x) = z* In(t)dt (a) Evaluate f'(10) = (b) Evaluate (8-1)'(0) = 6: Problem 27 Problem List (1 point) Evaluate the integral p T/3 -9 In(tan(x)), 57/4 sin(x) cos(x) 6: Problem 29 Previous Problem Problem List Next Problem (1 point) Find the area of the region enclosed between f(x) = x2 – 3x + 8 and g(x) = 2x2 – x. Area = (Note: The graph above represents...
Please help with 1-10 and please show all work thanks. Show all of your work neatly, and express solutions as exact answers unless otherwise requested. No credit will be given to solutions that have no work shown! BOX or CIRCLE your final answer. 1. Sketch a graph and shade the area of the region bounded by the following equations. Set up an integral that would give this area. 2x + y2 = 6 and y=x+1 2. Sketch a graph and...
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 -...