MAT 266 Test 2 Question and answers rated A+ 2025/2026

MAT 266 Test 2 Question and answers
rated A+ 2025/2026
6.6) An improper integral for which the limit exists is said to be: - correct answer ✔Converging



6.6) An improper integral for which the limit does not exist is said to be: - correct answer ✔Diverging



6.6) Conversion for an improper integral: - correct answer ✔



6.6) What is a Type I improper integral? - correct answer ✔Interval is infinite (either upper or lower
bound is infinity)



6.6) What is a Type II improper integral? - correct answer ✔Has an infinite discontinuity (i.e. vertical
asymptote)



6.6) Steps for evaluating an improper integral: - correct answer ✔1 - define boundaries of definite
integral noting asymptotes

2 - integrate

3 - evaluate definite integral

4 - check graph of original function (does it make sense)



7.1) Steps for determining the area between curves: - correct answer ✔1 - partition [a,b] into n
subintervals of equal width (delta x)

2 - determine rule to use (left-endpoint, right-endpoint, etc)

3 - size of each rectangle is equal to delta x * f(x)-g(x) at the chosen point

4 - area is roughly the sum of the rectangles