Problem
11. [-/1 Points] DETAILS SCALC9 4.4.010. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the general indefinite integral. (Use $C$ for the constant of integration.) \[ \int \sqrt[4]{x^{5}} d x \] Need Help? Read It
Solution
Step 1 ：The integral of a function can be found using the power rule for integration, which states that the integral of x^n dx is \(\frac{1}{n+1}x^{n+1} + C\), where C is the constant of integration. In this case, the function is \(x^{5/4}\), so n = 5/4.
Step 2 ：Substitute the value of n into the power rule for integration to get the integral of the function \(x^{5/4}\) as \(0.444444444444444x^{2.25} + C\).
Step 3 ：The general indefinite integral of the function is \(\boxed{0.444444444444444x^{2.25} + C}\).
