Integration

Improper integrals and convergence

Use finite bounds first, then take a one-sided or infinite limit. An endpoint singularity can still give a convergent integral; an interior singularity requires separate one-sided checks.

Review the power-integral notes · All resources for this topic

Seven questions from this bank, linked here without duplicate records. The diagnostic and mixed links open their complete six-question assessments.

An unbounded but integrable endpoint
An infinite upper limit
A singularity inside the interval
A finite integral with a tail
An unbounded solid with finite volume
Entry diagnostic · question 6
Mixed assessment · question 6