anonymous
  • anonymous
How do I find the indefinite integral of: ∫(√x) + (1/(4√x))
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
I got 2/3(x^3/2)+2(x^1/2)+C however it is stated to be wrong
KingGeorge
  • KingGeorge
Can you show me how you got to that result?
KingGeorge
  • KingGeorge
P.S. It's almost correct.

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More answers

anonymous
  • anonymous
Sure x^1/2 + 1/4 x^-1/2 (x^3/2)/(3/2)+(1/4)(x^1/2)/(1/2)
anonymous
  • anonymous
Am I missing a step?
KingGeorge
  • KingGeorge
That looks good to me. Now what is \[\Large \frac{1/4}{1/2}?\]
anonymous
  • anonymous
2
KingGeorge
  • KingGeorge
Almost. \[\Large \frac{1/4}{1/2}=\frac{2}{4}=\frac{1}{2}\]In general, \[\Large \frac{a/b}{c/d}=\frac{ad}{bc}\]
anonymous
  • anonymous
ah careless mistake
anonymous
  • anonymous
so then instead of the 2√x its 1/2√x?
KingGeorge
  • KingGeorge
That looks right to me.
anonymous
  • anonymous
ok 2/3(x^3/2)+1/2(x^1/2) is the correct answer?
KingGeorge
  • KingGeorge
With a +C at the end.
anonymous
  • anonymous
Always forget the C, thanks a lot you were a really big help. You truly are the king.
KingGeorge
  • KingGeorge
You're welcome, and thanks :P

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