Consider the integral
.
We can evaluate the integral as
The integral diverges if
Since, the choices are not visible, please choose
.
The integral int_{a}^{b} \frac{dx}{(x - a)"p} diverges if . Select one: a. 2p \le 1 b....
Evaluate the following integral or state that it diverges. 00 dx 1 x +49 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. 00 O A. dx s x? +49 (Type an exact answer, using e as needed.) 00 OB. The improper integral diverges.
sin2x VX dx (find out if this integral converges or diverges) + 1)(x+2)
Question 21 Indicate whether the series, \sum_{n=1}^{\infty} \frac{5}{2n^2 + 4n+ 3} converges or diverges. Select one: a. Converges b. Diverges
Consider the integral le -5x 1 + x2 dx If the integral is divergent, type an upper-case "D". Otherwise, evaluate the integral.
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...
(1 point) Select the FIRST correct reason why the given series diverges. A. Diverges because the terms don't have limit zero B. Divergent geometric series C. Divergent p series D. Integral test E. Comparison with a divergent p series F Diverges by limit comparison test G. Diverges by alternating series test 1. 2. n ln(n) cos(nT) In(4) 02n 3 (n182 +1)" 2n
(1 point) Select the FIRST correct reason why the given series diverges. A. Diverges because the terms don't...
Use the Integral Test to determine if the series shown below converges or diverges. Be sure to check that the conditions of the Integral Test are satisfied. 7 Σ net n? +25 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA The series converges because 7 dx = +25 (Type an exact answer.) 7 Ов. The series diverges because dx = x + 25 (Type an exact answer.) O c. The...
1) Determine whether the integral is convergent
or divergent.
?
71
ex
e2x + 3
dx
0
It reads the intergral is infinity on top and 0 on bottom. It is
71* e^x/e^2x+ 3
convergentdivergent
If it is convergent, evaluate it. (If the quantity
diverges, enter DIVERGES.)
2) Determine whether the integral is convergent
or divergent.
?
3 sin2?
d?
0
(infintiy on top, ? = alpha)
convergentdivergent
If it is convergent, evaluate it. (If the quantity
diverges, enter DIVERGES.)...
Determine whether the integral is convergent or divergent. integral ^infinity _6 1/(x - 5)^3/2 dx convergent divergent If it is convergent, evaluate it. (If the quantity diverges, enter DIVERGES.)
Select the FIRST correct reason why the given series diverges. A. Divergent p-series B. Divergent geometric series C. Comparison with a divergent p-series D. Diverges because the terms don't have limit zero E. Integral test D 1. In(n) N=3 In(n) A 2. n UM IM UMUM8 A !!! 3. E 4. 1 n ln(n) n=3