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onegirl

  • 2 years ago

Evaluate the indicated integral

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

  3. linearOperator
    • 2 years ago
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    u = \(\sqrt{x}\)

  4. onegirl
    • 2 years ago
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    ok

  5. onegirl
    • 2 years ago
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    so thats it?

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

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

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

  9. onegirl
    • 2 years ago
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    okay

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

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

  12. onegirl
    • 2 years ago
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    so its correct?

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

  14. onegirl
    • 2 years ago
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    okay

  15. onegirl
    • 2 years ago
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    okay

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