Content location → Definite integralsEvidenceConnection evidence is not yet available in this language.
Content location → Definite integralsEvidenceEditorial scope: f is Riemann integrable on the finite interval [a,b], with a<b; continuity is sufficient. Sample points belong to their subintervals and the largest subinterval width tends to zero. For the displayed equal partition, n→∞ ensures this. A nonnegative f gives ordinary area; a sign-changing f gives net signed area.
Explanation → Definite integralsEvidenceConnection evidence is not yet available in this language.
Explanation → Definite integralsEvidenceEditorial scope: f is Riemann integrable on the finite interval [a,b], with a<b; continuity is sufficient. Sample points belong to their subintervals and the largest subinterval width tends to zero. For the displayed equal partition, n→∞ ensures this. A nonnegative f gives ordinary area; a sign-changing f gives net signed area.
Content location → Definite integral as the limit of a Riemann sum | AP Calculus AB | Khan AcademyEvidenceEditorial scope: f is Riemann integrable on the finite interval [a,b], with a<b; continuity is sufficient. Sample points belong to their subintervals and the largest subinterval width tends to zero. For the displayed equal partition, n→∞ ensures this. A nonnegative f gives ordinary area; a sign-changing f gives net signed area.
Explanation → Definite integralsEvidenceEditorial scope: f is Riemann integrable on the finite interval [a,b], with a<b; continuity is sufficient. Sample points belong to their subintervals and the largest subinterval width tends to zero. For the displayed equal partition, n→∞ ensures this. A nonnegative f gives ordinary area; a sign-changing f gives net signed area.
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