Analyze each of the improper integrals below and enter a 1- or 2-letter code to report your findings. If the comparison test applies, enter either A or B followed by the letter from C to K. that best applies. If the compariscn test does not apply, anter only L (For example, comectly-formatted poss ble answers include "BF' and ' L ") 1. ∫ 1
[infinity]
x 2
+2
1
dx 2. ∫ 1
[infinity]
x 6
+2
x
dx 3. ∫ 1
[infinity]
x 2
e −x
dx 4. ∫ 1
[infinity]
x 2
+2
cos 2
(x)
dx 5. ∫ 1
[infinity]
x−0.5
7+sin(x)
dx A. The integral converges, B. The integral diverges, C. by comparison to ∫ 1
[infinity]
x 2
−2
1
dx. D. by comparison to ∫ 1
[infinity]
x 2
+2
1
dx. E. by comparison to ∫ 1
[infinity]
ω 2
cos 2
(x)
dx. F. by comparison to ∫ 1
[infinity]
x 2
e z
dx, G. by comparison to ∫ 1
[infinity]
2x
−e −z
dx. H. by comparison to ∫ 1
x
x
1
dx. 1. by comparison to ∫ 1
[infinity]
x 5
1
dx. J. by comparison to ∫ 1
[infinity]
z 2
1
dx. K. by comparison to ∫ 1
[infinity]
x 3
1
dx. L. The comparison test does not apply.
