Final Answer
$\frac{45}{4}$
Got another answer? Verify it here!
Step-by-step Solution
Problem to solve:
$\int_{1}^{8}\sqrt[3]{x}dx$
Specify the solving method
1
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 $\frac{1}{3}$
$\left[\frac{3}{4}\sqrt[3]{x^{4}}\right]_{1}^{8}$
2
Simplify the expression inside the integral
$\frac{45}{4}$
Final Answer
$\frac{45}{4}$
Numeric Answer
$11.25$