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DETAILS SCALC9 4.4.010.
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Find the general indefinite integral. (Use $C$ for the constant of integration.)
\[
\int \sqrt[4]{x^{5}} d x
\]
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Answer
The general indefinite integral of the function is \(\boxed{0.444444444444444x^{2.25} + C}\).
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 \(\boxed{0.444444444444444x^{2.25} + C}\).
