Respuesta :

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[tex]\displaystyle\int x^2e^{2x^3+4}\,\mathrm dx[/tex]

Let [tex]y=2x^3+4[/tex], then [tex]\mathrm dy=6x^2\,\mathrm dx[/tex]. So

[tex]\displaystyle\int x^2e^{2x^3+4}\,\mathrm dx=\frac16\int e^y\,\mathrm dy=\frac16e^y+C[/tex]

Back-substitute to get this in terms of [tex]x[/tex]:

[tex]\dfrac16e^{2x^3+4}+C[/tex]

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