Edodovivmagarwal
Mathematics - Calculus - Multivariable - Multiple integrals - Double Integrals Step by Step
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Mathematics - Calculus - Multivariable - Multiple integrals - Double Integrals Step by Step

vivmagarwal
vivmagarwalJan 29, 2026

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10 steps: (1) Double integral ∬f(x,y)dA computes VOLUME under surface z=f(x,y) over region R. (2) Iterated integrals: ∫∫f(x,y)dydx = integrate with respect to y first (x constant), then x. (3) Example: ∫₀² ∫₀³ (x+y) dy dx. (4) Inner integral: ∫₀³(x+y)dy = [xy+y²/2]₀³ = 3x+9/2. (5) Outer integral: ∫₀

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MathematicsCalculus - Multivariable

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