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If \(\int_{2}^{7} (6 f(x) + 7) \, dx = 11\), then \(\int_{2}^{7} f(x) dx =\)
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nobody knows?
i am trying @Jgeurts
thanks!
my first answer came out to 11/6 but that was wrong
studying for a midterm so an answer i can reverse engineer into understanding it would be fantastic :p
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\(\large \int \limits_{2}^{7} (6 f(x) + 7) \, dx = 11\) \(\large \int \limits_{2}^{7} 6 f(x) dx + \int \limits_{2}^{7} 7 \, dx = 11\) \(\large 6\int \limits_{2}^{7} f(x) dx + 7(7-2) = 11\) \(\large 6\int \limits_{2}^{7} f(x) dx = -24 \) \(\large \int \limits_{2}^{7} f(x) dx = ?\)
suddenly, its so easy, thank you so much, -4
np :)
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