Problem
f) \( \int \sqrt[3]{3 x^{3}-5 x^{5}} d x \)
Solution
Step 1 ：\( u(x)=3x^3-5x^5 \)
Step 2 ：\( \frac{du(x)}{dx} = 9x^2 - 25x^4 \)
Step 3 ：\( \int \sqrt[3]{u(x)} \frac{du(x)}{dx} dx = \int u^{\frac{1}{3}} du \)
Step 1 ：\( u(x)=3x^3-5x^5 \)
Step 2 ：\( \frac{du(x)}{dx} = 9x^2 - 25x^4 \)
Step 3 ：\( \int \sqrt[3]{u(x)} \frac{du(x)}{dx} dx = \int u^{\frac{1}{3}} du \)
