integration question

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bjackson11

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Oct 17, 2008
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I'm not sure which method to use for this one. Direct or substition? Also I am not sure how to type in the equation so I will spell it out in a sentence. The equation I wish to integrate f of x equals the square root of x raised to the third power plus two. Both the x^3 and the 2 are under the square root sign. Thanks and sorry for not knowing how to type in the equation correctly


f(x) = ?x^3 + 2
 
Please use proper grouping symbols.

\(\displaystyle \int\sqrt{x^{3}+2} \;\ dx\)?.

If this is it, then it will be a booger. It is not doable by elementary means (nor few other means). That x^3 under the radical causes the problem.

But, if we had limits of integration, then we may be able to do something. But a closed form indefinite integral is difficult.

It involves Elliptic Integrals and complex terms. Run it through some tech like Maple or Mathematica and you will see what I mean.
 
Please post the problem exactly as stated. Otherwise, we're spinning our wheels.
 
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