Indefinite Integration notes
OpenThe 4 formulas you need for Indefinite Integration, on one page.
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Indefinite Integration: One-Page Formula Sheet
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Last updated: 26 October 2026
Formula sheet
Indefinite Integration formulas
Indefinite Integration — formula sheet
Formulas
- ∫xⁿ dx = xⁿ⁺¹/(n+1) + C
- ∫u v dx = u∫v dx − ∫(u′∫v dx) dx
- ∫dx/(x² + a²) = (1/a) tan⁻¹(x/a) + C
- ∫eˣ[f(x) + f′(x)] dx = eˣf(x) + C
Key ideas
- Integration is the reverse of differentiation
- Choose substitution when the derivative of a part is present
- By parts: ILATE order to pick u
- Partial fractions for rational functions
Traps to avoid
- Forgetting + C
- Wrong partial fraction setup for repeated factors
- Choosing u badly in by parts
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FAQs
Frequently asked questions
Where can I get a Indefinite Integration formula sheet PDF for free?
On this page. Use the print button and choose 'Save as PDF'.
How should I use a formula sheet?
Read it once a day for a week, then cover it and write the formulas from memory. Revise only the ones you missed.