Use Geometry to Evaluate

Question

Use geometry to evaluate  .

Question options:

1)	10.5
2)	12.5
3)	23
4)	25

Answer 1

₀∫⁸(5-|x-3|)dx is the area under the curve (yellow).

Using geometry, it is the big triangle - the small triangle.

A = (1/2)(10)(5) - (1/2)(2)(2) = 25 - 2 = 23