MAT 302 Assignment Problem 8.8

MAT 302 Assignment Problem 8.8 | Borough of Manhattan Community College

8.8 Improper Integrals

Question 1

(1 point) Compute the value of the following improper integral. If it is divergent, type "Diverges" or "D".

Question 2

(1 point) Compute the value of the following improper integral. If it is divergent, type "Diverges" or "D".

Question 3

(1 point) Match the following improper integral with the improper integral below in which you can compare using the Comparison Test. Then determine whether the integral converge or diverge.

Question 4

(1 point) Compute the value of the following improper integral. If it is divergent, type "Diverges" or "D".

Question 5

(1 point) Compute the value of the following improper integral. If it is divergent, type "Diverges" or "D".

Question  6

1 point) Calculate the integral, if it converges. If it diverges, enter diverges for your answer.

Question  7

(1 point) Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If it diverges to infinity, state your answer as INF. If it diverges to negative infinity, state your answer as MINF. If it diverges without being infinity or negative infinity, state your answer as DIV.

Question  8

(1 point) Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not, state your answer as "divergent."

Question  9

(1 point) Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not, state your answer as "divergent."

Question  10

(1 point) Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not, state your answer as "divergent".

Question  11

(1 point) Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If it diverges to infinity, state your answer as INF. If it diverges to negative infinity, state your answer as MINF. If it diverges without being infinity or negative infinity, state your answer as DIV.

Question  12

(1 point) Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not, state your answer as "divergent".

Question  13

(1 point) Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not, state your answer as divergent .

Question  14

(1 point)

Determine if the improper integral converges and, if so, evaluate it.

Question  15

Question  16

(1 point)

Consider the integral

Question  17

(1 point)

(a) Find the values of pp for which the following integral converges:

Question  18

(1 point)

(a) Find the values of pp for which the following integral converges:

Question  19

(1 point)

Consider the integral

Question  20

(1 point)

Consider the integral

Question  21

(1 point)

Consider the integral

Question  22

(1 point) Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If it diverges to infinity, state your answer as INF. If it diverges to negative infinity, state your answer as MINF. If it diverges without being infinity or negative infinity, state your answer as DIV.

Question 23

(1 point) Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If it diverges to infinity, state your answer as INF. If it diverges to negative infinity, state your answer as MINF. If it diverges without being infinity or negative infinity, state your answer as DIV.