Calculus
Applications of Integration flashcards
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- What does “Area Between Curves” mean?Area Between Curves
- The accumulated nonnegative vertical separation between two graphs.
- What important condition applies to area between curves?Area Between Curves
- Split the interval if the curves switch vertical order.
- What does “Area with Parallel Boundaries” mean?Area Between Curves
- Area determined by the gap between constant upper and lower curves.
- What important condition applies to area with parallel boundaries?Area Between Curves
- Use the difference between boundaries.
- What does “Disk Volumes” mean?Volume
- Volume accumulated from circular cross-sections with no central hole.
- What important condition applies to disk volumes?Volume
- Use radius squared, not diameter squared.
- What does “Washer Volumes” mean?Volume
- Volume accumulated from circular rings with inner and outer radii.
- What important condition applies to washer volumes?Volume
- R²−r² is not generally (R−r)².
- What does “Net Change and Initial Amount” mean?Accumulated Change in Context
- Updating an initial quantity using its accumulated net rate.
- What important condition applies to net change and initial amount?Accumulated Change in Context
- An accumulated change and a final amount are different quantities.
- What does “Displacement and Distance” mean?Accumulated Change in Context
- The signed position change obtained by accumulating velocity.
- What important condition applies to displacement and distance?Accumulated Change in Context
- Net displacement can be zero while total distance is positive.