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PLease Help me with intergals

Mathematics
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1 Attachment
\[\int\limits_{7}^{8}f(x)=-8 \] I think..
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Other answers:

Thank you i entred it and your answer was correct!
how did you get this?
Well I used the given information and graphed it out I graphed each integral individually
And they gave the over value from 6-9 which is 6 So I added up both integral values: 14-x=6
I see. what about the second one?
It would be the opposite.. since it's going backwards whenever the integral has a lower limit that is higher than the upper limit it'll be negative \[\int\limits_{8}^{7}f(x)dx=-\int\limits_{7}^{8}f(x)dx\]
So it's -(-8)=8
Does that make some sense? :l
the second one is wrong when I entred it
Woops, I did not see that 6..
\[-\int\limits_{7}^{8} 6(-8)-6\] so it's 54 if I'm not mistaken again :/
correct! you are supre. could you explain?
How I obtained the answer?
yes,
Well since we know that: \[\int\limits_{7}^{8}f(x)dx=8\] We can switch the integrals around and we already solved for \[\int\limits_{7}^{8}f(x)dx \] we just plug in 8 for \[-\int\limits_{7}^{8}6f(x)-6\]
so it'll be -[6(-8)-6] -[-48-6] -[-54] 54
sorry i meant -8 on the first integral
thank you so much

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