QUESTION 2 The improper integral s** e-Xdx converges to a. The integral does not converge. b....
QUESTION 2 The improper integral e-*dx converges to e b.-e-1 d. The integral does not converge. ADRIAN
value. Determine if the improper integral La de converges. If it does converge, find its 22
Determine if the improper integral converges or diverges? Determine if improper integral converges or divergess 2+ cosa ) da 2 + cost da x²
Question 13 (8 points) Explain why the following integral is an improper integral. Find out whether or not it converges, and if it does converge, compute its value. 1 162 2.c dr. .
(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? ?
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.
1. a) Find using integration by parts. Does the improper integral converge? b) What can you say about the infinite series using the improper integral in the previous part? Estimate the partial sum S100 = . Find upper bound for R100 = and use the integral test. We were unable to transcribe this imagepinsinity In(x)}dz We were unable to transcribe this image100 In(n) 2 73 n=101
em #6: Evaluate the following improper integral. 1, 63-2033 die If the integral does not converge, then write "divergent" (without the quotes). Problem #6: Enter your answer symbolcally as in these examples If the integral does not converge, then write "divergent". Problem #8: Which of the following graphs is the level set of corresponding to (6)
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...
(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.