Area and Volume Bell Work

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

$\pi\int_0^2\ 4\ dy+\pi\int_2^4\left(4-\left(g\left(y\right)\right)^2\right)dy$

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

$\pi\int_0^24\ dy+\pi\int_2^4\left(\left(2-g\left(y\right)\right)^2\right)dy$

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

$\int_{-\pi}^0\left(\left(f\left(x\right)-g\left(x\right)\right)^2\right)dx$

$\int_0^{\pi}\left(\left(f\left(x\right)-g\left(x\right)\right)^2\right)dy$

$\int_{-\pi}^0\left(\left(g\left(x\right)-f\left(x\right)\right)^2\right)dx$

$\int_0^{\pi}\left(\left(g\left(x\right)-f\left(x\right)\right)^2\right)dy$