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$$ \int_0^1 \frac{dx}{x^\frac12+5x^\frac13} $$ Let $$u = 5+x^\frac16 $$ I have change x into u, and find $$\int_5^6 \frac{7}{6u(u-5)^3} $$ Then, i don't know how to integrate it.

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    Use partial fractions for the last integral2012-12-07
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    I get something very different from ${7\over6u(u-5)^3}$ when I make the substitution. Can you show your work?2012-12-07

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