Further Topics in Integration
Further Topics in Integration

Further Topics in Integration

Lead Author(s): Kelly Cline

Student Price: FREE

These questions are about improper integrals, calculating volumes of solids of revolution, and solving basic differential equations.

[Improper Integrals] 1

TrueorFalse:\bf{True or False:} If ff is continuous for all xx and 0f(x)dx\int_0^\infty f(x)dx converges, then so does af(x)dx\int_a^\infty f(x)dx for all positive aa.

A

True, and I am very confident

B

True, but I am not very confident

C

False, but I am not very confident

D

False, and I am very confident

[Improper Integrals] 2

TrueorFalse:\bf{True or False:} If ff is continuous for all xx and 0f(x)dx\int_0^\infty f(x)dx diverges, then so does af(x)dx\int_a^\infty f(x)dx for all positive aa.

A

True, and I am very confident

B

True, but I am not very confident

C

False, but I am not very confident

D

False, and I am very confident

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