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