lesson
Motion Problems with Antiderivatives: Position, Velocity, and Acceleration
Apply antiderivatives with initial conditions to recover velocity and position functions from acceleration models.
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Antiderivatives and Indefinite Integrals Foundations
8 lessons
Goal
Apply linearity properties and basic integration rules to evaluate indefinite integrals for polynomials, 1/x, e^x, sin(x), and cos(x), and solve initial value problems.
8 lessons
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- Antiderivatives and Indefinite IntegralsUp next
- Linearity Properties of Indefinite IntegralsNot started yet
- The Power Rule for Integration and Polynomial IntegralsNot started yet
- Integrating Rational Expressions Leading to Logarithmic Forms: 1/xNot started yet
- Integration of Exponential and Logarithmic FunctionsNot started yet
- Integrating Trigonometric, Exponential and Logarithmic FunctionsNot started yet
- Finding Particular Antiderivatives Using Initial Conditions and Boundary ValuesNot started yet
- Motion Problems with Antiderivatives: Position, Velocity, and AccelerationYou are here
Learning standards covered
OGM.11.CAL.2Open Global Math Standards 2026™ · 10th GradeInterpret derivatives as average and instantaneous rates of change and tangent slopes; compute first and second derivatives of polynomial, rational, exponential, logarithmic, and trigonometric functions; and apply derivatives to curve sketching (concavity, inflection points) and optimization problems.
OGM.11.CAL.3Open Global Math Standards 2026™ · 10th GradeProve and apply linearity properties of antiderivatives (primitives) and basic indefinite integrals for polynomial combinations, 1/x, e^x, sin(x), and cos(x).