- #1

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1/((x^(1/2)-x^(1/3))

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- Thread starter Bohn507
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- #1

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1/((x^(1/2)-x^(1/3))

- #2

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Here, http://www.wolframalpha.com/input/?i=integrate+1%2F((x^(1%2F2)-x^(1%2F3))

Click on show steps and that's it.

See LaTeX for formatting your equations here.

- #3

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Thank you!

- #4

arildno

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Introduce:

[tex]x=u^{6}\to\frac{dx}{du}=6u^{5}\to{dx}=6u^{5}du[/tex]

Then,

[tex]\int\frac{dx}{\sqrt{x}-\sqrt[3]{x}}=\int\frac{6u^{5}}{u^{3}-u^{2}}du=\int\frac{6u^{3}}{u-1}du=6\int({u}^{2}+u+1+\frac{1}{u-1})du[/tex]

which is easily integrated.

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