--- title: "C.PAR.6: Definite and Indefinite Integrals (Georgia Mathematics standard)" code: C.PAR.6 cite_as: Georgia Standards of Excellence, Mathematics, C.PAR.6 subject: math grades: - high-school language: en canonical_url: https://georgiahomeroom.org/standards/code/C.PAR.6 md_url: https://georgiahomeroom.org/standards/code/C.PAR.6.md alternate_language_url: https://georgiahomeroom.org/es/standards/code/C.PAR.6.md source_url: https://case.georgiastandards.org/ims/case/v1p1/CFDocuments/e9dd7229-3558-4df2-85c6-57b8938f6180 source_last_changed: 2024-10-09 data_built: 2026-09-18 publisher: Georgia Homeroom, a free public-interest project of Georgia Civic Data. Not affiliated with or endorsed by the Georgia Department of Education or any school district. up: https://georgiahomeroom.org/standards/math/high-school.md index: https://georgiahomeroom.org/standards/index.md --- # C.PAR.6: Definite and Indefinite Integrals Apply the definite integral and indefinite integral to contextual situations. - Subject: Mathematics - Appears in: High School, https://georgiahomeroom.org/standards/math/high-school.md ## Expectations - Apply Integration techniques to solve problems. - **C.PAR.6.1**: Find a particular curve in a family of antiderivatives using an initial condition. - **C.PAR.6.2**: Solve separable differential equations and use them to model real-world problems. - **C.PAR.6.3**: Apply definite integrals to find the area between two curves. - **C.PAR.6.4**: Apply definite integrals to find the average value of a function over a closed interval. ## Georgia Milestones coverage No Georgia Milestones blueprint cites this standard. Source: Georgia Standards of Excellence, published by the Georgia Department of Education at case.georgiastandards.org.