Volumes of integrals

6.2

• Volumes of integrals

  • Definition

    • we can think of it as slicing upon the x axis and take the cross-sectional area then take the integral from a -> b
      • $V={\int }_a^{b}A(x)dx$
        • ${\lim }_{n\to \infty }{\sum }_{i=1}^{n}A(x_i^{\ast })\Delta x$

  • Ex.

    • 2.7, find the volume of a pyramid whose base is a square with side b and whose height is h