Ben bowled 139 and 184 in his first two games. What must he bowl in his third game to 170?
2 answers:
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Since , we can rewrite the integral as
Now there is no ambiguity about the definition of f(t), because in each integral we are integrating a single part of its piecewise definition:
Both integrals are quite immediate: you only need to use the power rule
to get
Now we only need to evaluate the antiderivatives:
So, the final answer is 15.