11. [0/1 Points] DETAILS PREVIOUS ANSWERS 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 Submit Answer

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 \((1/(n+1))x^(n+1) + C\), where C is the constant of integration. In this case, the function is \(x^(5/4)\), so we can apply the power rule directly.

Step 2 ：The integral of the function \(x^(5/4)\) is \((4/9)x^(9/4)\). However, we need to remember to add the constant of integration, C.

Step 3 ：The indefinite integral of \(\sqrt[4]{x^{5}} dx\) is \(\boxed{\frac{4}{9}x^{\frac{9}{4}} + C}\).