Final answer to the problem
$\frac{4\sqrt[4]{x^{3}}}{3}+C_0$
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Step-by-step Solution
Learn how to solve integrals of rational functions problems step by step online. Find the integral int(1/(x^(1/4)))dx. Rewrite the exponent using the power rule \frac{a^m}{a^n}=a^{m-n}, where in this case m=0. Multiply the fraction and term in - \frac{1}{4}. Apply the power rule for integration, \displaystyle\int x^n dx=\frac{x^{n+1}}{n+1}, where n represents a number or constant function, such as -\frac{1}{4}. Divide fractions \frac{\sqrt[4]{x^{3}}}{\frac{3}{4}} with Keep, Change, Flip: a\div \frac{b}{c}=\frac{a}{1}\div\frac{b}{c}=\frac{a}{1}\times\frac{c}{b}=\frac{a\cdot c}{b}.
Final answer to the problem
$\frac{4\sqrt[4]{x^{3}}}{3}+C_0$
