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Tutorial Exercise
If $\int_2^6 f(x) dx = 7.7$ and $\int_4^6 f(x) dx = 4.2$, find $\int_2^4 f(x) dx$.
Step 1
Since we have $2 \le 4 \le 6$, $\int_2^4 f(x) dx + \int_4^6 f(x) dx = \int_2^6 f(x) dx.$