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Dodo1

PLease Help me with intergals

  • one year ago
  • one year ago

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  1. Dodo1
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    • one year ago
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  2. Luigi0210
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    \[\int\limits_{7}^{8}f(x)=-8 \] I think..

    • one year ago
  3. Luigi0210
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    |dw:1366155033606:dw|

    • one year ago
  4. Dodo1
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    Thank you i entred it and your answer was correct!

    • one year ago
  5. Dodo1
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    how did you get this?

    • one year ago
  6. Luigi0210
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    Well I used the given information and graphed it out I graphed each integral individually

    • one year ago
  7. Luigi0210
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    And they gave the over value from 6-9 which is 6 So I added up both integral values: 14-x=6

    • one year ago
  8. Dodo1
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    I see. what about the second one?

    • one year ago
  9. Luigi0210
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    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 \[\int\limits_{8}^{7}f(x)dx=-\int\limits_{7}^{8}f(x)dx\]

    • one year ago
  10. Luigi0210
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    So it's -(-8)=8

    • one year ago
  11. Luigi0210
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    Does that make some sense? :l

    • one year ago
  12. Dodo1
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    the second one is wrong when I entred it

    • one year ago
  13. Luigi0210
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    Woops, I did not see that 6..

    • one year ago
  14. Luigi0210
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    \[-\int\limits_{7}^{8} 6(-8)-6\] so it's 54 if I'm not mistaken again :/

    • one year ago
  15. Dodo1
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    correct! you are supre. could you explain?

    • one year ago
  16. Luigi0210
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    How I obtained the answer?

    • one year ago
  17. Dodo1
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    yes,

    • one year ago
  18. Luigi0210
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    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 \[-\int\limits_{7}^{8}6f(x)-6\]

    • one year ago
  19. Luigi0210
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    so it'll be -[6(-8)-6] -[-48-6] -[-54] 54

    • one year ago
  20. Luigi0210
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    sorry i meant -8 on the first integral

    • one year ago
  21. Dodo1
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    thank you so much

    • one year ago
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