Question 13 (8 points) Explain why the following integral is an improper integral. Find out whether...
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...
p® 4.0 + 10 (1) (5 points) Determine whether the improper integral diverges. Evaluate the integral if it converges. Jo .2 + 5x + 2 de converges or دم dr converges or di- (2) (5 points) Determine whether the improper integral verges. Evaluate the integral if it converges.
1) The following problems are intended to show how we can use double integral to solve a fundamental problem in Probability and Statis- ties. It is known that we cannot compute the indefinite integral Jede. Recall that to even compute we have to resort to approximation techniques as we cannot get the exact value. As it turns out, we can compute exactly the value dr. a. Argue why the improper integral To dr does converge. Lets give this value a...
Determine whether the following improper integral converges or diverges. If it converges, find its value. S V2 - x d x Attach your work to this question using the "insert stuff" option.
value.
Determine if the improper integral La de converges. If it does converge, find its 22
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...
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) Compute the value of the following improper integral. If it converges, enter its value. Enter Infinity If it diverges to co, and Infinity if it diverges to -0. Otherwise, enter diverges. Does the series Doos the series E , convergo or divergo? ? converge or divergo? ?
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.