Final answer to the problem
$\frac{4\sqrt[4]{x^{3}}}{3}+C_0$
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Step-by-step Solution
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1
Apply the formula: $\frac{a}{x^b}$$=ax^{-b}$, where $a=1$ and $b=\frac{1}{4}$
$\int x^{- \frac{1}{4}}dx$
Learn how to solve intégrales de fonctions rationnelles problems step by step online.
$\int x^{- \frac{1}{4}}dx$
Learn how to solve intégrales de fonctions rationnelles problems step by step online. int(1/(x^(1/4)))dx. Apply the formula: \frac{a}{x^b}=ax^{-b}, where a=1 and b=\frac{1}{4}. Apply the formula: \frac{a}{b}c=\frac{ca}{b}, where a=1, b=4, c=-1, a/b=\frac{1}{4} and ca/b=- \frac{1}{4}. Apply the formula: \int x^ndx=\frac{x^{\left(n+1\right)}}{n+1}+C, where n=-\frac{1}{4}. Apply the formula: \frac{a}{\frac{b}{c}}=\frac{ac}{b}, where a=\sqrt[4]{x^{3}}, b=3, c=4, a/b/c=\frac{\sqrt[4]{x^{3}}}{\frac{3}{4}} and b/c=\frac{3}{4}.
Final answer to the problem
$\frac{4\sqrt[4]{x^{3}}}{3}+C_0$
