diff --git a/College/AU 26/MATH 224 (Multivar)/Class 10-2.md b/College/AU 26/MATH 224 (Multivar)/Class 10-2.md index 184185e..79487bb 100644 --- a/College/AU 26/MATH 224 (Multivar)/Class 10-2.md +++ b/College/AU 26/MATH 224 (Multivar)/Class 10-2.md @@ -13,4 +13,6 @@ - x values are between $a$ and $b$ , y values are between $c$ and $d$ - slice up solid into equations that can be integrated with one variable - $$\int \int_{[a,b] \times [c,d]} f(x,y) dA = \int^b_{a} \int^d_{c}f(x,y)dy dx$$ - - \ No newline at end of file + - Fubini's theorem + - $$\int_{a}^b \int_{c}^d f(x,y) dy dx = \int_{c}^d \int_{a}^b f(x,y) dx dy$$ + - can integrate either way (x or y first) \ No newline at end of file