Solution assignment 09 Integration of standard functions

Return to Assignments Integration of standard functions

Assignment 9

Solve:

$\displaystyle\int{\sqrt[5]{x}}dx$

Solution

This function does not seem a standard function in the list, but in fact it is. We can write:

$\sqrt[5]{x}=x^{\frac{1}{5}}$

and this is power function with:

$n=\displaystyle\frac{1}{5}$

Thus:

$\displaystyle\int{\sqrt[5]{x}}dx=\displaystyle\int{x^{\frac{1}{5}}}dx=\displaystyle\frac{5}{6}x^{\frac{6}{5}}+C=\displaystyle\frac{5}{6}x\sqrt[5]{x}+C$

Return to Assignments Integration of standard functions

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Solution assignment 09 Integration of standard functions

Assignment 9

Solution

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