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Accumulation and Integrals flashcards
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- What does “Left Riemann Sums” mean?Area Estimates
- An integral estimate using left-endpoint sample heights.
- What important condition applies to left riemann sums?Area Estimates
- An estimate’s direction depends on the function’s behavior.
- What does “Right Riemann Sums” mean?Area Estimates
- An integral estimate using right-endpoint sample heights.
- What important condition applies to right riemann sums?Area Estimates
- A partition with n intervals has n rectangles and n+1 boundary points.
- What does “Definite Integrals” mean?Definite Integrals
- Signed accumulated output over a specified input interval.
- What important condition applies to definite integrals?Definite Integrals
- A definite integral is a numerical accumulation, not an indefinite family with +C.
- What does “Signed Area and Geometric Area” mean?Definite Integrals
- Distinguishing signed accumulation from nonnegative area size.
- What important condition applies to signed area and geometric area?Definite Integrals
- Net signed area can differ from total geometric area.
- What does “Evaluating with Antiderivatives” mean?The Fundamental Theorem of Calculus
- Using an antiderivative to compute a definite integral.
- What important condition applies to evaluating with antiderivatives?The Fundamental Theorem of Calculus
- Evaluate upper endpoint minus lower endpoint.
- What does “Derivatives of Accumulation” mean?The Fundamental Theorem of Calculus
- Recovering an integrand by differentiating its accumulation function.
- What important condition applies to derivatives of accumulation?The Fundamental Theorem of Calculus
- A changing upper bound g(x) requires the chain rule.