Search for question
Question

3. Find the area of the region bounded by the given curves. Write a single integral that represents the area. x=y^{2}, \text { and } x=16 \text { A. } \operatorname{area}=\int^{4}\left(16-y^{2}\right) d y=\frac{256}{3} \text { B. } \text { area }=\int_{-4}^{4}\left(y^{2}-16\right) d y=\frac{256}{3} \operatorname{area}=\int_{0}^{16}(16-\sqrt{x}) d x=\frac{640}{3} \operatorname{area}=\int_{0}^{16}(\sqrt{x}-16) d x=\frac{640}{3}

Fig: 1

Fig: 2

Fig: 3

Fig: 4

Fig: 5

Fig: 6