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8-58.
  1. No calculator iconNo calculator! Integrate. Homework Help ✎

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.