Integral area and volume equations duel

Integral area function formula rectangle Base * height

Continuous function

∫ [multiplier] (top-bottom)^[something]

Differentiable graph No corner, cusp, vertical line

π∫ (axis - top)² - (axis - bottom)²

Integral area function formula "base"

Integral area function formula square

Revolve 2 equations over axis

Integral area function formula isosceles triangle 1/2 base²

Take deriv, plug in value

No holes, jumps, asymptotes

Integral area function formula semicircle

Integral area function formula equilateral triangle

Integral area function formula "base" Top-bottom

π∫ (axis - top)² - (axis - bottom)²

Volume of solid with base _______ ∫ [multiplier] (top-bottom)^[something]

Integral area function formula equilateral triangle (√3 )/4 * base²

Continuous graph

Integral area function formula isosceles triangle

π/8 * base²

Integral area function formula square Base²

Revolve 2 equations over axis π∫ top² - bottom²

No corner, cusp, vertical line

Continuous function "Left" and "right" functions are equal at point

Differentiable function Take deriv, plug in value

Base * height

End this game?