Problem

f) \( \int \sqrt[3]{3 x^{3}-5 x^{5}} d x \)

Answer

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Answer

\( \int \sqrt[3]{u(x)} \frac{du(x)}{dx} dx = \int u^{\frac{1}{3}} du \)

Steps

Step 1 ：\( u(x)=3x^3-5x^5 \)

Step 2 ：\( \frac{du(x)}{dx} = 9x^2 - 25x^4 \)

Step 3 ：\( \int \sqrt[3]{u(x)} \frac{du(x)}{dx} dx = \int u^{\frac{1}{3}} du \)

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