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onegirl

Evaluate the indicated integral

  • 11 months ago
  • 11 months ago

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  1. onegirl
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    • 11 months ago
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  2. linearOperator
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    u = square root x

    • 11 months ago
  3. linearOperator
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    u = \(\sqrt{x}\)

    • 11 months ago
  4. onegirl
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    ok

    • 11 months ago
  5. onegirl
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    so thats it?

    • 11 months ago
  6. linearOperator
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    \[du = \frac{ 1 }{ 2 \sqrt{x} }dx\]

    • 11 months ago
  7. linearOperator
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    \[2 \int\limits e^udu=2e^u+C \]

    • 11 months ago
  8. ajmayberry
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    He did a u substitution. Make sure to plug in u=sqrt(x) back into the equation at the end.

    • 11 months ago
  9. onegirl
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    okay

    • 11 months ago
  10. onegirl
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    @ajmayberry so 2e(sqrtx) + C ??

    • 11 months ago
  11. knock
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    Yes, that's the solution!

    • 11 months ago
  12. onegirl
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    so its correct?

    • 11 months ago
  13. ajmayberry
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    Yes. It is correct if you write 2e^(sqrtx) + C.

    • 11 months ago
  14. onegirl
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    okay

    • 11 months ago
  15. onegirl
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    okay

    • 11 months ago
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