数学试题讲解

累次积分

\int_{0}^{\frac{π}{2}} d θ \int_{0}^{\cos θ} f (r \cos θ, r \sin θ) r d r

可以写为

()

\int_{0}^{1} d y \int_{0}^{\sqrt{y - y^{2}}} f (x, y) d x

\int_{0}^{1} d y \int_{0}^{\sqrt{1 - y^{2}}} f (x, y) d x

\int_{0}^{1} d x \int_{0}^{1} f (x, y) d y

\int_{0}^{1} d x \int_{0}^{\sqrt{x - x^{2}}} f (x, y) d y