Section 17.2: Double integrals: first examples
Problem types
- Double Integrals
- Double Integrals
- More Double Integrals!
Double Integrals:
Evaluate the Iterated Integrals:
- $\int_0^1 \int_{0}^2 (1+2y) dy dx$
- $\int_0^1 \int_0^{\pi/2} \cos(s) dt ds$
- $\int_0^2 \int_0^{1} xy dx dy$
Double Integrals:
Evaluate the Double Integrals:
- $\iint_D \frac{y}{x^5+1} dA$, $D = \{(x,y): 0 \leq x \leq 1, 0 \leq y \leq 1 \}$
- $\iint_D x dA$, $D = \{(x,y): 0 \leq x \leq \pi, 0 \leq y \leq \pi \}$
More Double Integrals! Whoohoo!
Evaluate the Double Integrals:
- $\int_0^1 \int_{2}^4 (x-y) dy dx$
- $\int_0^1 \int_{2}^4 (xy-y) dy dx$