1/3bh

1/3bh

Input
1/3 b h
Result
(b h)/3
Geometric figure
hyperbolic paraboloid
Property as a function
odd
Derivative
(d)/(db)((b h)/3) = h/3
Indefinite integral
integral (b h)/3 db = (b^2 h)/6 + constant
Definite integral over a disk of radius R
integral integral_(b^2 + h^2
Definite integral over a square of edge length 2 L
integral_(-L)^L integral_(-L)^L (b h)/3 dh db = 0

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