Evaluate the integral. La S4 5 - x2 if 0 < x < 4 if -4 sxs 0 f(x) dx where f(x)

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A: ∫ y+33-223dySimplify: =∫ y+3dyApply the Sum Rule:  ∫fx±gxdx=∫fxdx±∫gxdx=∫ ydy+∫ 3dy=y22+3yAdd a…