Content location → Definite integralsEvidenceFor this continuous nonnegative function on the ordered interval [-3,3], the definite integral equals the ordinary area below its graph. Recognize the upper semicircle and use its area. For integrable functions that change sign, use signed contributions rather than adding every area positively. The general conditions are editorial.
Content location → Definite integralsEvidenceConnection evidence is not yet available in this language.
Explanation → Definite integralsEvidenceFor this continuous nonnegative function on the ordered interval [-3,3], the definite integral equals the ordinary area below its graph. Recognize the upper semicircle and use its area. For integrable functions that change sign, use signed contributions rather than adding every area positively. The general conditions are editorial.
Explanation → Definite integralsEvidenceConnection evidence is not yet available in this language.
Content location → Worked example: Definite integral by thinking about the function's graph | Khan AcademyEvidenceFor this continuous nonnegative function on the ordered interval [-3,3], the definite integral equals the ordinary area below its graph. Recognize the upper semicircle and use its area. For integrable functions that change sign, use signed contributions rather than adding every area positively. The general conditions are editorial.
Explanation → Definite integralsEvidenceFor this continuous nonnegative function on the ordered interval [-3,3], the definite integral equals the ordinary area below its graph. Recognize the upper semicircle and use its area. For integrable functions that change sign, use signed contributions rather than adding every area positively. The general conditions are editorial.
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