Question

If \(\int_{2}^{7} (6 f(x) + 7) \, dx = 11\), then
\(\int_{2}^{7} f(x) dx =\)

Answer 1

nobody knows?

Answer 2

i am trying @Jgeurts

Answer 3

thanks!

Answer 4

my first answer came out to 11/6 but that was wrong

Answer 5

studying for a midterm so an answer i can reverse engineer into understanding it would be fantastic :p

Answer 6

\(\large \int \limits_{2}^{7} (6 f(x) + 7) \, dx = 11\)


\(\large \int \limits_{2}^{7} 6 f(x) dx + \int \limits_{2}^{7} 7 \, dx = 11\)

\(\large 6\int \limits_{2}^{7} f(x) dx + 7(7-2) = 11\)

\(\large 6\int \limits_{2}^{7} f(x) dx = -24 \)

\(\large \int \limits_{2}^{7} f(x) dx = ?\)

Answer 7

suddenly, its so easy, thank you so much, -4

Answer 8

np :)