Question

How to evaluate the integral by interpreting it in terms of areas. a=-1 and b=2 ∫ (1-x) dx ?

Answer 1

Refer to explanation

Explanation:

The graph explains the integral under calculation

The shaded area is the integral in request.

#int_-1^2 abs(1-x)dx=int_-1^1abs(1-x)dx+int_1^2abs(1-x)dx=5/2 #