precal
  • precal
need help with an integral and wolfram alpha's solution integral posted below
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
precal
  • precal
http://www.wolframalpha.com/input/?i=integrate+%28x%5E%283%2F2%29+%2B8%29%5E5++x%5E%281%2F2%29
precal
  • precal
|dw:1333493654186:dw|
anonymous
  • anonymous
You can use logarithms... 5ln((x^(3/2)+8)+.5lnx

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precal
  • precal
So I can just log an integral?
precal
  • precal
I know you can take to log of both sides of an equation (common log or natural log) but log an integral?
precal
  • precal
I don't recall that from my mathematical days....
anonymous
  • anonymous
You can if you know how to take the int of logarithms, but what I posted isn't the answer, you still have to find the integral of that. I just used logarithms to simplify the problem. If you are taking a class, then the answer may not always be simplified to look as it would if you took the integral of a logarithm as opposed to normally finding the integral. It applies more to differentiation though.
precal
  • precal
I thought perhaps I would do a u du substitution.
precal
  • precal
actually that makes more sense
precal
  • precal
|dw:1333494070654:dw|
precal
  • precal
|dw:1333494109967:dw|
precal
  • precal
@satellite73 what do you think?
anonymous
  • anonymous
looks good to me wolfram just expanded and integrated term by term but your way looks better
anonymous
  • anonymous
I think what you want to do here is multiply out. You would get Int of x^4/2= Int x^2+8root x. That would be much easier
anonymous
  • anonymous
@brainshot3 not really
anonymous
  • anonymous
X^2 is very easy to integrate and so is 8x^.5.
precal
  • precal
@satellite73 Can you take the log of a function? (in an integral as suggested by brainshot3) I do not recall doing such a thing. I know you can log both sides of an equation but in an integration...?
anonymous
  • anonymous
Wait, didn't notice the ^5 part.
anonymous
  • anonymous
Yes, u-sub
precal
  • precal
Thought so. I would never expand anything to the 5th power unless I was force to... too much unnecessary math
anonymous
  • anonymous
But, you are learning this for fun. Don't you want to challenge your self?! =)
precal
  • precal
There are limits to what I will do. I also, keep the math as correct as possible. I am sure the professor would rather grade the unexpanded version compared to the expanded version. Besides my time is limited.

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