Compute the following integral.

We compute the integral as follows:

Now we make a substitution, letting

This gives us,

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Stumbling Robot

A Fraction of a Dot
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Evaluate the integral of * (4x*^{5}-1) / (x^{5}+x+1)^{2}

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3 comments

### Point out an error, ask a question, offer an alternative solution (to use Latex type [latexpage] at the top of your comment):

Compute the following integral.

We compute the integral as follows:

Now we make a substitution, letting

This gives us,

But this does not use any technique of integration – you just found the antiderivative somehow and inserted as the result of integration (since we are integrating a constant 1 after the substitution) :)

Trying to factor x^5 +x +1 and then x^3-x^2+1 and doing the system of equations for this annoying integral absolutely sucks

Why is the result negative?