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Brooke_army

  • 3 years ago

Evaluate the following definite integral

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  1. Brooke_army
    • 3 years ago
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    \[\int\limits_{-1}^{2} \left| X \right| dx\]

  2. Brooke_army
    • 3 years ago
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    I got 3/2 this is the wrong answer the correct answer is 2.5

  3. hba
    • 3 years ago
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    Can you show me your working ?

  4. Brooke_army
    • 3 years ago
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    \[\left| x \right| \] \[\frac{ x^2 }{ 2 }\] \[(\frac{ 2^2 }{ 2 })- (\frac{ -1^2 }{ 2 })\] (4/2)-(1/2) 3/2

  5. tkhunny
    • 3 years ago
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    1) Convention suggests that \(X\) is NOT the same as \(x\). Please don't switch variable in the middle of a problem. 2) You have simply ignored the absolute value. That's no good. Split the integral at \(x = 0\) and see if you can manage a different result.

  6. Brooke_army
    • 3 years ago
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    I'm still not sure what to do

  7. sauravshakya
    • 3 years ago
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    |dw:1358608829929:dw|

  8. tkhunny
    • 3 years ago
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    \(\int\limits_{-1}^{2}|x|\;dx = \int\limits_{-1}^{0}|x|\;dx + \int\limits_{0}^{2}|x|\;dx = \int\limits_{-1}^{0}(-x)\;dx + \int\limits_{0}^{2}(x)\;dx\)

  9. sauravshakya
    • 3 years ago
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    That should help

  10. Brooke_army
    • 3 years ago
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    thanks I will try that

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