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scottman

  • 3 years ago

How do I find the indefinite integral of: ∫(√x) + (1/(4√x))

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  1. scottman
    • 3 years ago
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    I got 2/3(x^3/2)+2(x^1/2)+C however it is stated to be wrong

  2. KingGeorge
    • 3 years ago
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    Can you show me how you got to that result?

  3. KingGeorge
    • 3 years ago
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    P.S. It's almost correct.

  4. scottman
    • 3 years ago
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    Sure x^1/2 + 1/4 x^-1/2 (x^3/2)/(3/2)+(1/4)(x^1/2)/(1/2)

  5. scottman
    • 3 years ago
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    Am I missing a step?

  6. KingGeorge
    • 3 years ago
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    That looks good to me. Now what is \[\Large \frac{1/4}{1/2}?\]

  7. scottman
    • 3 years ago
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    2

  8. KingGeorge
    • 3 years ago
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    Almost. \[\Large \frac{1/4}{1/2}=\frac{2}{4}=\frac{1}{2}\]In general, \[\Large \frac{a/b}{c/d}=\frac{ad}{bc}\]

  9. scottman
    • 3 years ago
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    ah careless mistake

  10. scottman
    • 3 years ago
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    so then instead of the 2√x its 1/2√x?

  11. KingGeorge
    • 3 years ago
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    That looks right to me.

  12. scottman
    • 3 years ago
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    ok 2/3(x^3/2)+1/2(x^1/2) is the correct answer?

  13. KingGeorge
    • 3 years ago
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    With a +C at the end.

  14. scottman
    • 3 years ago
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    Always forget the C, thanks a lot you were a really big help. You truly are the king.

  15. KingGeorge
    • 3 years ago
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    You're welcome, and thanks :P

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