Final answer to the problem
Step-by-step Solution
Learn how to solve integrals of polynomial functions problems step by step online. Find the integral int(x^(-1/3))dx. 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}{3}. Divide fractions \frac{\sqrt[3]{x^{2}}}{\frac{2}{3}} 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}. As the integral that we are solving is an indefinite integral, when we finish integrating we must add the constant of integration C.