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Given the improper integral 1 = ( (v + 2)(5 – 3' dr, which of the...
a) Set up the appropriate limit(s) to evaluate the improper integral Do not evaluate the limit(s). Ś 4. 12 - 31 dr. (b) Determine whether the following integrals is proper, improper and convergent, or improper and divergent. Justify your answer. x + arctan(a) x + 3 $ (c) Evaluate the following integral or determine whether it is convergent. 1 S Edi X-V
5. (a) Show that the following improper real integral is absolutely convergent cos 2x dr I (1+?}% " (b) If CR is the semicircle of radius R in the upper half plane with centre at z = 0, show carefully that e2iz lim R00JCR (1+ z2)2 d% = 0 (c) Use residue calculus to evaluate the real integral I of part (a)
5. (a) Show that the following improper real integral is absolutely convergent cos 2x dr I (1+?}% "...
(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.
We wish to determine by a comparison test whether or not the improper integral below is convergent. If it is convergent, we would like in addition to provide Question 2 an upper bound for its value. daz 1 point I= /25g5+91/2 Choose the correct reasoning 1/2 The integral is convergent since 25591/2> such that 0< for all: < 1 ,hence dr =4/9 1/4 1 1 and I 3z1/4 25z5 91/2 The integral is divergent since 25 9r 34 for all...
Determine whether the improper integral is convergent or divergent. 18 s dx (x + 1)2 2 Divergent O Convergent
Determine if the improper integral is convergent or divergent, and calculate its value if it is convergent. 9x e 8xdx Calculate the value of the improper integral. Select the correct choice below and fill in any answer boxes within your choice. се 9xe 8xdx(Type an integer or a fraction. Simplifty your answer.) 0 O B. The integral diverges.
Determine if the improper integral is convergent or divergent, and calculate its value if it is convergent. 9x e 8xdx Calculate the...
Question 1: Determine whether the improper integral is convergent or divergent. Is it Convergent or is it Divergent?
determine if improper integral is convergent or divergent infinity(upper)integral symbol 2(lower) 19/x2 dx
We wish to determine by a comparison test vwhether or not the improper integral below is convergent. If it is convergent, vwe would like in addition to provide an upper bound for its value. de -1621/4 2525 + Choose the correct reasoning. 1621/4 5 1631/4 for all such that 0 1,hence The integral is convergent since 251 1 do 1 1 - 2/7 and 4 J0 1/8 /255+161/4 41/8 161/4< 415 5 The integral is divergent since 25 + for...
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...