The original worked lessons remain the main explanations. Use these focused reminders to check the conditions before you start.
Power integrals, constants and limits
Integrate rational powers and linear inner functions with correct constants.
Evaluate finite integrals and simple improper integrals using valid limits.
Check singularities and zero-parameter cases before applying a formula.
For \(n\ne-1\), increase the power and divide by the new power. For \((ax+b)^n\), also divide by \(a\), provided \(a\ne0\). A definite integral uses upper value minus lower value. At a singular endpoint or infinity, evaluate a limit; never subtract across an interior singularity.