p® 4.0 + 10 (1) (5 points) Determine whether the improper integral diverges. Evaluate the integral...
Determine whether the improper integral diverges or converges x?In(x) dx converges diverges Evaluate the integral if it converges, and check your results with the results obtained by using the integration capabilities of a graphing it the quantity divergesenter DIVERGES)
(b) (5 points) Determine if the following improper integral converges or diverges: de √x-2 (C) (5 points) Prove that the improper integral do is converging.
Determine if the improper integral converges or diverges. If it converges, evaluate the integal ༠) (༣)
Determine if the improper integral converges or diverges? Determine if improper integral converges or divergess 2+ cosa ) da 2 + cost da x²
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...
2. a) Determine whether the integral converges or diverges. If it converges, evaluate the integral. e'dx 20 como ma come more
i. Explain why this definite integral is an improper integral. ii. Determine if this improper integral converges or diverges. Be sure to treat the improper integral with appropriate mathematical rigour. Simply treating the improper integral as if it was a proper integral will result in zero marks. Furthermore, make sure you clearly explain/justify each step in your limit analysis working. thanks for your answer, please give a clear writing. (b) Consider the definite integral 2 1 i. Explain why this...
005 10.0 points Determine whether the sequence {an} con- verges or diverges when en = (-1)" (5n+) (5n+7) (5n+4) and if it does, find its limit. 1. sequence diverges 2. limit = 0 3. limit = +1 4. limit 5. limit = 1 006 10.0 points Which of the following sequences converge? A. _2n | 3n +4J 4en +6) 5n+6 C. {_3en1 C. (4+2en) 1. A and C only 2. B only 3. none of them 4. A, B, and...
2017 is the power of (1 + x^2) Exercise 9. (i) Evaluate dr (ii) Show that the following improper integral converges roo arctan r dx. Jo (1+r2)2017 Exercise 9. (i) Evaluate dr (ii) Show that the following improper integral converges roo arctan r dx. Jo (1+r2)2017
Evaluate and then determine if the improper integral $. de converges.