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Integral area and volume equations

13 Flashcards 0 recently 0/10

Integral area function formula square ☝️ Click to use flashcards

Integral area and volume equations

13 Flashcards 0 recently 0/10

Matteo Z

Calc AB taking the integrals of shapes and finding area or volume.

Terms

Integral area function formula square
Base²
Integral area function formula semicircle
π/8 * base²
Integral area function formula equilateral triangle
(√3 )/4 * base²
Integral area function formula rectangle
Base * height
Integral area function formula isosceles triangle
1/2 base²
Integral area function formula "base"
Top-bottom
Revolve 2 equations over axis
π∫ top² - bottom²
Revolve 2 equations over arbitrary line
π∫ (axis - top)² - (axis - bottom)²
Volume of solid with base _______
∫ [multiplier] (top-bottom)^[something]
Continuous graph
No holes, jumps, asymptotes
Continuous function
"Left" and "right" functions are equal at point
Differentiable function
Take deriv, plug in value
Differentiable graph
No corner, cusp, vertical line