integration of powers

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February 10th 2009, 11:35 PM
twilightstr

integration of powers

integrate 1/(x+x^(1/3))
February 11th 2009, 12:15 AM
ADARSH

Quote:

Originally Posted by twilightstr

integrate 1/(x+x^(1/3))

put $x^{\frac{1}{3}} =t$
so
$\frac{x^{\frac{-2}{3}}dx}{3} = dt$

thus

$dx = 3t^2dt$
So
$\int{\frac{dx}{x+x^{1/3}} }$

$<br /> = \int{\frac{3t^2dt}{t^3+t} }<br />$
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