Evaluate each integral by interpreting it in terms of areas.

Question

The graph of f is shown. Evaluate each integral by interpreting it in terms of areas

35

f(x) dx

15

35

[f(x) dx]

15

Answer 1

The integral is represented by two triangles (in blue) of height 3 and base 2, one above the x-axis and the other below the x-axis. Since the triangle above the x-axis has positive signed area and the triangle below x-axis has negative signed area, the total area represented by the integral is:

The integral is represented by two triangles of height 3 and base 2, both above the x-axis. Since the triangles above the x-axis has positive signed area, the total area represented by the integral is: