### Home > CALC > Chapter 8 > Lesson 8.1.6 > Problem 8-58

8-58.

You could rewrite the integrand as a piecewise function and then integrate each piece separately, or...

You could think about the shape of the graph of *y* = |*y* − 4| and evaluate this integral geometrically.

Before integrating, distribute the *w*.

Before integrating, think about the shape of the graph of *y* = −7. Evaluate this integral geometrically. Careful: Will the area be positive or negative?

Evaluate this integral geometrically.