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credmond

  • one year ago

Iterated Integral Question:

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  1. credmond
    • one year ago
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    |dw:1443492683994:dw|

  2. credmond
    • one year ago
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    |dw:1443492857641:dw|

  3. credmond
    • one year ago
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    Did I set this up right?

  4. anonymous
    • one year ago
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    So far so good

  5. Loser66
    • one year ago
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    |dw:1443493829991:dw|

  6. Loser66
    • one year ago
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    Since the limits is from 1-x to 1+x, I guess, the first integration should respect to y, not to x.

  7. Loser66
    • one year ago
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    They are different!! Please, check.

  8. credmond
    • one year ago
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    I am sorry! It is dydx

  9. credmond
    • one year ago
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    So I started distributing across and ended up with 7(x^3+3x^2+3x+1) +14xy +14

  10. credmond
    • one year ago
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    Am I on the right track?

  11. IrishBoy123
    • one year ago
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    thusfar you should have \[\large \int\limits_{x=0}^{1} \; \; \int\limits_{y=1-x}^{1+x} 21x^2 + 14y\; dy \; dx\] \[\large =\int_{0}^{1} \left[ 21x^2y + 7y^2 \right]_{1-x}^{1+x} \; dx\] \[\large =7 \int_{0}^{1} \left[ \left(3x^2(1+x) + (1+x)^2 \right) - \left(3x^2(1-x) + (1-x)^2 \right)\right] \; dx\] \(= \; \; ...\) you still have y's in there so something has gone wrong.

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