RL Calculus - Area and Volume

 $\int_a^bf\left(x\right)dx$  

 $\int_a^b\left[f\left(x\right)-g\left(x\right)\right]\ dx$  

 $\int_a^b\left[f\left(x\right)\right]^2dx$  

 $\pi\int_a^bf\left(x\right)dx$  

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

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

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

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

$\frac{4}{3}$

$1$

$\frac{3}{2}$

$\sqrt{3}$

$\int_a^bf\left(x\right)dx$

$\int_a^bf\left(x\right)^2dx$

$\int_a^b\left[f\left(x\right)-g\left(x\right)\right]dx$

$\int_a^b\left[f\left(x\right)^2-g\left(x\right)^2\right]dx$

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

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

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

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

$\frac{16}{3}$

$\frac{17}{3}$

$\frac{13}{3}$

$\frac{32}{3}$

 $\pi\int_a^b\ f\left(x\right)^2\ dx$  

 $\pi\int_a^b\ f\left(y\right)^2\ dy$  

 $\pi\int_a^b\ f\left(x\right)^{ }dx$  

 $\pi\int_a^b\ \ R\ dx$  

$\pi\int_a^b\left[f\left(x\right)-g\left(x\right)\right]dx$

$\pi\int_a^b\left[f\left(x\right)^2-g\left(x\right)^2\right]dx$

$\pi\int_a^b\left[R^2-r^2\right]dx$

 $\pi\int_a^b\left[f\left(y\right)^2-g\left(y\right)^2\right]dy$