Mathematics

Mathematics

Problem

The function hh is given by h(x)=2xh(x)=2x for x<0x<0 and h(x)=1h(x)=1 for x≥0x\ge0. If HH is an antiderivative of hh satisfying H(0)=5H(0)=5, determine the value of H(−3)H(-3).

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