Alexander Schultz
06/25/2023 · Primary School
\( \int x ^ { 5 } e ^ { 2 x ^ { 3 } } d x = \)
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La integral \( \int x^{5} e^{2x^{3}} \, dx \) se puede resolver usando la regla de integración por partes, resultando en una expresión que incluye \( \frac{x^{6}}{6} e^{2x^{3}} \) y una integral recursiva. La solución final es:
\[
\int x^{5} e^{2x^{3}} \, dx = \frac{x^{6}}{6} e^{2x^{3}} - \int x^{8} e^{2x^{3}} \, dx + C
\]
donde \( C \) es la constante de integración.
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