∫

Multiple Integrals

★★★★☆Undergraduate

📖Definition

Integration over multiple variables, used to compute volume, mass, etc.

∬_R f(x,y) dA = ∈tₐ^b ∈t_c^d f(x,y) dy dx

Double integral (iterated)

∭_V f(x,y,z) dV

Triple integral

예제 1★★★☆☆

Find ∫∫_R xy dA where R: 0≤x≤1, 0≤y≤2.

Mass, moment of inertia

Volume calculation

#analysis#calculus#multivariable#integration