- #1

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## Homework Statement

Use both substitution and integration by parts to solve:

∫x

^{3}e

^{x2}dx

**2. The attempt at a solution**

∫x

^{3}e

^{x2}dx

∫e

^{x2}x

^{3}dx

(1/2x)e

^{x2}x

^{3}-∫(1/2x)e

^{x2}3x

^{2}dx

(1/2)e

^{x2}x

^{2}-(3/2)∫e

^{x2}xdx

(e

^{x2}x

^{2}/2)-(3/2)∫e

^{u}x(du/2x)

(e

^{x2}x

^{2}/2)-(3/2)(1/2)∫e

^{u}du

(e

^{x2}x

^{2}/2)-(3/4)e

^{u}+ C

(e

^{x2}x

^{2}/2)-(3/4)e

^{x2}+ C

The solution is supposed to be; (e

^{x2}x

^{2}/2)-(1/2)e

^{x2}+ C

Where am i going wrong?