Field Guide/Calculus/Area between curves
Exam essential3 min

Find area between two curves

Two functions bound a finite region.

01

Press these keys

5:intersectMATH9:fnInt(

Step 1 of 3. Press 5:intersect.

02

Walkthrough

  1. 1
    Find bounds

    Graph both curves and use intersect to find the bounding x-values.

  2. 2
    Identify upper curve

    Use a trace/table point between the bounds.

  3. 3
    Integrate difference

    Compute fnInt(upper−lower,x,left,right). Split if the order changes.

03

Worked example

Find the area between y=x and y=x² from x=0 to 1.

Answer1/6 square unit.