(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

[itex]\int \frac{-2x}{\sqrt[4]{x+2}}dx[/itex]

3. The attempt at a solution

[itex]=-2*\int x(x+2)^{\frac{1}{4}}dx[/itex]

Let [itex]u=x+2[/itex].

Then, [itex]u-2=x[/itex],

and [itex]du = dx[/itex]

.. Continued from above,

[itex]=-2*\int (u-2)u^{\frac{1}{4}}du[/itex]

[itex]=-2*\int u^{5/4}-2u^{\frac{1}{4}}du[/itex]

Is that last step allowed?

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# Homework Help: Integration by Substition

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