Determine whether or not the integral is improper.
A) The integral is improper.
B) The integral is not improper.

Question

Determine whether or not the integral is improper. 
A) The integral is improper. 
B) The integral is not improper.

Quizplus · Accepted Answer

An integral is considered improper if at least one of the following occurs:

1. One or both of the limits of integration are infinite. 
2. The integrand has a vertical asymptote within the interval of integration.

Without knowing the specific integrand in this case, it is impossible to determine if it is improper or not based on option 2. However, since no limits of integration are given, it is impossible for them to be infinite or undefined, so the only way for the integral to be improper is if option 2 is true. Therefore, the safest choice is to select A.

Determine Whether or Not the Integral Is Improper