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Evaluate the definite integral:

∫8−4(x−8|x|)dx=∫−48(x−8|x|)dx= 

 

Consider the graph of the function g(x)g(x):

The graph from x=2x=2 to x=6x=6 is a semicircle. Evaluate the following integrals by interpreting them in terms of areas:

(a) ∫20g(x)dx=∫02g(x)dx= 

(b) ∫62g(x)dx=∫26g(x)dx= 

(c) ∫70g(x)dx=∫07g(x)dx= 

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