Area of regions between curves

  1. Find the area between the curves \( f(x)=x \) and \( g(x)=x^2\).  solution

  2. Find the area between the curves \( y=2x-1 \) and \( y=x^2-1\).  solution

  3. Find the area between the curves as shown.  solution

    4. graph3

  4. Find the area under the curve \( y=x\) on the interval \( [0,4]\).   solution

  5. Find the area of the region bounded by the curve \(f(x)=3x-x^2, \) and the \(x\)-axis.   solution

  6. Find the area of the region bounded by the curves \(y=\sqrt{x}, \: x=5\) and the \(x\)-axis.   solution

  7. Find the area of the region bounded by the curves: \( y=x^3 \) and \( y= x \).  solution

  8. Find the area of the region bounded by the curves: \( y=x^2 \) and \( y=4x-x^2\).  solution

  9. Find the area of the region bounded by the curves: \( y=\sqrt{x}\) and  \( y=x^2\).  solution