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Results are computed symbolically with a self-hosted computer-algebra engine (nerdamer) and typeset with KaTeX — both run on your device. Indefinite integrals omit the constant of integration; it is shown as “+ C”. Natural log is written ln. One-sided limits are evaluated numerically. Some hard integrals or limits may not have a closed form the engine can find — try rephrasing, or use a definite integral for a numeric value. Nothing you type is uploaded.