- Problem Statement
- The problem requires interpreting integrals as areas when calculating. ##\int_1^2 (1-2x)dx##

- Relevant Equations
- Are of a triangle is base X height.

Evaluate the integral using the properties of definite integral and interpreting integrals as areas.

##\int_{-1}^2 (1-2x)dx##

I need to see there are two areas and these are the same but one is under x-axis the other is above x-axis so the value of the integral is zero. To see this is difficult to me.

Source: Calculus A Complete Course by Robert A. Adams

Thanks.

##\int_{-1}^2 (1-2x)dx##

I need to see there are two areas and these are the same but one is under x-axis the other is above x-axis so the value of the integral is zero. To see this is difficult to me.

Source: Calculus A Complete Course by Robert A. Adams

Thanks.