Areas Between Two Curves

  1. $\rhd$ Area between a curve and the x-axis (5:53) Find the area of the region bounded by $f(x)=x^2$ over the interval $[1,4]$.
  2. $\rhd$  Area between a curve and the x-axis: negative area (7:52) Find the area of the region bounded by $f(x)=\cos x$ over the interval $[0,3\pi/2]$.
  3. * Practice: Area between a curve and the $x$-axis. (4 problems)
  4. $\rhd$ Area between curves (6:49) An introduction.
  5. $\rhd$ Worked example: area between curves. (5:24) Find the area of the region bounded by $y=x^2-3$ and $x^4-4x^2+1$.
  6. * Practice Area between two curves given end points. (4 problems)
  7. * Practice Area between two curves. (4 problems)