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 $\frac{1}{3}$
$\frac{3}{4}\sqrt[3]{x^{4}}$
2
As the integral that we are solving is an indefinite integral, when we finish integrating we must add the constant of integration $C$
$\frac{3}{4}\sqrt[3]{x^{4}}+C_0$
Final answer to the problem
$\frac{3}{4}\sqrt[3]{x^{4}}+C_0$
Explore different ways to solve this problem
Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more