Worked examples

Improper integrals

One sheet for each type of problem, with several worked examples of increasing difficulty: first the computation, then the explanation in words. Each sheet starts with links to the theory it uses.

• 1Explicit integrals over unbounded intervals
• 2Explicit integrals of unbounded functions
• 3Integrals by limit comparison at infinity
• 4Integrals by limit comparison at a finite point
• 5Integrals with a parameter over unbounded intervals
• 6Integrals with a parameter and an unbounded function
• 7Integrals with two critical points
• 8Oscillating integrals and absolute convergence