
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.