anonymous
  • anonymous
PLease Help me with intergals
Mathematics
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anonymous
  • anonymous
PLease Help me with intergals
Mathematics
chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
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anonymous
  • anonymous
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Luigi0210
  • Luigi0210
\[\int\limits_{7}^{8}f(x)=-8 \] I think..
Luigi0210
  • Luigi0210
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anonymous
  • anonymous
Thank you i entred it and your answer was correct!
anonymous
  • anonymous
how did you get this?
Luigi0210
  • Luigi0210
Well I used the given information and graphed it out I graphed each integral individually
Luigi0210
  • Luigi0210
And they gave the over value from 6-9 which is 6 So I added up both integral values: 14-x=6
anonymous
  • anonymous
I see. what about the second one?
Luigi0210
  • Luigi0210
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 \[\int\limits_{8}^{7}f(x)dx=-\int\limits_{7}^{8}f(x)dx\]
Luigi0210
  • Luigi0210
So it's -(-8)=8
Luigi0210
  • Luigi0210
Does that make some sense? :l
anonymous
  • anonymous
the second one is wrong when I entred it
Luigi0210
  • Luigi0210
Woops, I did not see that 6..
Luigi0210
  • Luigi0210
\[-\int\limits_{7}^{8} 6(-8)-6\] so it's 54 if I'm not mistaken again :/
anonymous
  • anonymous
correct! you are supre. could you explain?
Luigi0210
  • Luigi0210
How I obtained the answer?
anonymous
  • anonymous
yes,
Luigi0210
  • Luigi0210
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 \[-\int\limits_{7}^{8}6f(x)-6\]
Luigi0210
  • Luigi0210
so it'll be -[6(-8)-6] -[-48-6] -[-54] 54
Luigi0210
  • Luigi0210
sorry i meant -8 on the first integral
anonymous
  • anonymous
thank you so much

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