Area and Volume AP Calculus Review

$$\int_{-6}^{-2}\ 2\left(x^2\ +\ 6x\ +\ 10\right)\ dx$$

$$\int_{-6}^{-2}\ -2\left(x^2\ +\ 6x\ +\ 10\right)\ dx$$

$$\int_{-6}^{-2}\ \left(x^2\ +\ 6x\ +\ 10\right)\ dx$$

$$\int_{-6}^{-2}\ -4\left(x^2\ +\ 6x\ +\ 10\right)\ dx$$

$$\int_0^5\left[\left(-\frac{x^2}{2}+4x-3\right)-\left(-x^2+6x-8\right)\right]dx$$

$$\int_1^5\left[\left(-x^2+6x-8\right)-\left(-\frac{x^2}{2}+4x-3\right)\right]dx$$

$$\int_1^5\left[\left(-\frac{x^2}{2}+4x-3\right)-\left(-x^2+6x-8\right)\right]dx$$

$$\int_0^5\left[\left(-x^2+6x-8\right)-\left(-\frac{x^2}{2}+4x-3\right)\right]dx$$

$$\int_{-1}^3\left(-x^2+6x-5\right)^2dx$$

$$\int_{-1}^5\left(-x^2+6x-5\right)^2dx$$

$$\int_1^3\left(-x^2+6x-5\right)^2dx$$

$$\int_1^5\left(-x^2+6x-5\right)^2dx$$

$$\pi\int_0^3e^{2y}dy$$

$$\pi\int_0^3\left[\ln\left(y\right)\right]^2dy$$

$$\pi\int_0^{\ln3}e^{2y}dy$$

$$\pi\int_0^{e^3}\left[\ln\left(y\right)\right]^2dy$$

$$\pi\int_1^4\left[e^y+4\right]^2dy$$

$$\pi\int_1^4\left[\ln\left(y\right)-4\right]dy$$

$$\pi\int_1^4\left[\ln\left(y\right)+4\right]^2dy$$

$$\pi\int_1^4\left[e^y-4\right]^2dy$$

$$8\pi$$

$$6\pi$$

$$\frac{8}{3}\pi$$

$$\frac{8}{3}$$

$$\pi\int_0^1\left(1-x^2\right)^2\ \ dx$$

$$\pi\int_0^1\left(\sqrt{1-y}\right)^2\ \ dy$$

$$\int_0^1\left(1-y^2\right)\ \ dy$$

$$\pi\int_0^1\left(\sqrt{1-x}\right)^2\ \ dx$$

$$\pi\int_0^1\left(1-x^2\right)^2\ \ dx$$

$$\pi\int_0^1\left(\sqrt{1-y}\right)^2\ \ dy$$

$$\int_0^1\left(1-y^2\right)\ \ dy$$

$$\pi\int_0^1\left(\sqrt{1-x}\right)^2\ \ dx$$

$$\pi\int_0^3\left(\left(3-f\left(x\right)\right)^2-\left(3-g\left(x\right)\right)^2\right)dx$$

$$\pi\int_0^4\left(\left(3-g\left(x\right)\right)^2-\left(3-f\left(x\right)\right)^2\right)dx$$

$$\pi\int_0^3\left(\left(f\left(x\right)-g\left(x\right)\right)^2\right)dx$$

$$\pi\int_0^4\left(\left(3-f\left(x\right)\right)^2-\left(3-g\left(x\right)\right)^2\right)dx$$

$$\pi\int_0^2\left(\left(y^2+2\right)^2-1\right)dy$$

$$\pi\int_0^2\left(\left(y^2+1\right)^2\right)dy$$

$$\pi\int_0^4\left(\left(y^2+2\right)^2-1\right)dy$$

$$\pi\int_0^4\left(\left(y^2+1\right)^2\right)dy$$