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Integrate the functions(x^3-1)^(1/3)x^5...

Integrate the functions`(x^3-1)^(1/3)x^5`

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To solve the integral \(\int (x^3 - 1)^{1/3} x^5 \, dx\), we can follow these steps: ### Step 1: Rewrite the Integral We start with the integral: \[ I = \int (x^3 - 1)^{1/3} x^5 \, dx \] We can rewrite \(x^5\) as \(x^2 \cdot x^3\): ...
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