Integral Calculator
Find indefinite and definite integrals with substitution, integration by parts and standard forms shown clearly. Try “integrate x² eˣ dx”.
Try an example:
How the Integral Calculator works
- Pick a method: basic rules, u-substitution or integration by parts (∫u dv = uv − ∫v du).
- Integrate, remembering + C for indefinite integrals.
- For definite integrals, evaluate F(b) − F(a) and check by differentiating.
Frequently asked questions
How do I choose u in integration by parts?
Use the LIATE order: Logarithmic, Inverse trig, Algebraic, Trigonometric, Exponential, and pick u from the earliest type.
Why is there a + C?
Many functions share the same derivative, differing by a constant, so an indefinite integral needs an arbitrary constant.
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