Which of the following is not an improper integral? (a) 21. dx (b) S. 24x dx...
QUESTION 2 The improper integral e-*dx converges to e b.-e-1 d. The integral does not converge. ADRIAN
x-5 dx. ) Evaluate the definite integral S 22-3x+2 Determine whether the improper integral S, dx converges. If convergent, find its value.
Question 2 please 1 and 2, determine whether or not the integral is In exercises improper. If it is improper, explain why 12. (a) 12 x-2/5 dx 「x-2/5 dx 「x2/5 dx (b) (c) I. (a) 0 13. (a 40 1 dx 2 x 14. (a In exercises 3-18, determine whether the integral converges or diverges. Find the value of the integral if it converges. 15. (a (b)人1x-4/3 dr 3, (a) l.lyMdx (b) x43 dx 16. (a 4. (a) 45 dx...
QUESTION 2 The improper integral s** e-Xdx converges to a. The integral does not converge. b. O c. 1 e d.-e-1
(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(x) dx 0 ? 2. $x2-3x+6° x2 - 5x + 6 1 ? 3. Loints dx -00 x2 00 ? 4. dx
Determine whether the improper integral is convergent or divergent. 18 s dx (x + 1)2 2 Divergent O Convergent
9. Which integral below is equal to the following integral? S sode -, f(x)dx (#jar + Sardor А. В. e-freы. оf ths- f(x)dx D. B ОООО по ооо с D
5. (-/1 Points) DETAILS LARCALC9 8.8.002. Decide whether the integral is improper. dx X4 proper improper Explain your reasoning. (Select all that apply.) The limits of integration are both finite. At least one of the limits of integration is not finite. The integrand is not continuous on (3,6). The integrand is continuous on [3, 6].
(a) Set up the appropriate limit(s) to evaluate the improper integral Do not evaluate the limit(s). = dr. (6) Determine whether the following integrals is proper, improper and convergent, or improper and divergent. Justify your answer. *1 + arctan(1) 10 (c) Evaluate the following integral or determine whether it is convergent.
I want to know when to use shell method and when to use washer method. and how to evaluate the improper integral. 1. Consider the region bounded by the graphs of f(x)-21 and g(x) 3-x2. 1.(a). (5 points) Write the integral for the volume of the solid of revolution obtained by rotating this region about the x-axis. Do not evaluate the integral. 24a). (I point) Is the integral dx an improper integral? 2.a). (1 point) Is the integral dx an...