Lab · Indefinite integrals
Indefinite integrals: antiderivative lab
Find an antiderivative, move C and check that differentiation returns the integrand. The result is a family of functions, not an area.
Choose a case or enter f and F₀.
Finitely many samples cannot prove F₀′=f on an interval. Formulas may need simplification; domain or precision issues may prevent comparison. This is not a general symbolic integrator.
Interval of validity considered:
The constant belongs to the selected interval. Other intervals can have independent constants; the lab stores their values separately.
Antiderivatives: height changes, derivative does not
F₀+COther constants
Check: F₀′ must coincide with f
fF₀′
Compare values of f and F₀′
Values are approximate and do not replace analytic verification on the domain.