Problem

\( \int x^{3} e^{x^{2}} d x \)

Answer

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Answer

\( \int x^{3} e^{x^{2}} d x = \int x^{3} e^{u} \frac{du}{2x} \)

Steps

Step 1 ：\( u = x^{2} \)

Step 2 ：\( du = 2x dx \)\( \Rightarrow dx = \frac{du}{2x} \)

Step 3 ：\( \int x^{3} e^{x^{2}} d x = \int x^{3} e^{u} \frac{du}{2x} \)

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