Antiderivative of Square Root

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  • #1
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Homework Statement



Antiderivative of sqrt[e^x+ln(x^2)+1]

Homework Equations





The Attempt at a Solution



(2[(e^x+ln(x^2)+1)^(3/2)]x^2)/[3(e^x+2x)]
 

Answers and Replies

  • #2
HallsofIvy
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No, that is incorrect and I don't think this can by integrated in terms of elementary functions. What you have done, integrating [itex]u^{1/2}[/itex] as [itex](3/2)u^{3/2}[/itex] and then dividing by the derivative of u, can only be done if u is linear so that u' is a constant. Constants can be "moved" inside and outside of an integral. functions of the variable of integration cannot.
 

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