This commit is contained in:
jverzani
2024-10-15 17:45:52 -04:00
parent 30086f9517
commit c7c60bd436
5 changed files with 5 additions and 4 deletions

View File

@@ -669,7 +669,7 @@ integrate(rho(x,y), (y, h(x), g(x)), (x, -a, a))
##### Example (Strang)
Integrate $\int_0^1 \int_y^1 \cos(x^2) dx dy$ avoiding the *impossible* integral of $\cos(x^2)$. As the integrand is continuous, Fubini's Theorem allows the interchange of the variable of integraton. The region, $R$, is a triangle in the first quadrant below the line $y=x$ and left of the line $x=1$. So we have:
Integrate $\int_0^1 \int_y^1 \cos(x^2) dx dy$ avoiding the *impossible* integral of $\cos(x^2)$. As the integrand is continuous, Fubini's Theorem allows the interchange of the variable of integration. The region, $R$, is a triangle in the first quadrant below the line $y=x$ and left of the line $x=1$. So we have:
$$