Study guide and
1 practice problem
on:
Factoring a double integral
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If the bounds of a double integral are constants and the integrand factors, then the integral factors:$$\int_{x=a}^b \int_{y=c}^d f(x) g(y) dy dx = \int_{r=a}^b f(x) dx \int_{y=c}^d g(y) dy$$
Related topics
Double integrals
(3 problems)
Multivariable calculus
(147 problems)
Practice problem
Let $D$ be the circle of radius $a$ centered at the origin. Evaluate $$\iint_D (1 - x^2 -y^2) dxdy$$
Solution