Ortega Chandler
04/02/2024 · Primary School
\( \int ( \frac { 1 } { 9 } x ^ { 6 / x } ) ^ { 2 / 5 } ( \frac { 4 } { 7 } x ^ { \frac { 1 } { 5 } } ) ^ { \frac { 1 } { 7 } } \)
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Para resolver la integral
\[
\int \left( \frac{1}{9} x^{\frac{6}{x}} \right)^{\frac{2}{5}} \left( \frac{4}{7} x^{\frac{1}{5}} \right)^{\frac{1}{7}} \, dx,
\]
simplificamos la expresión dentro de la integral y obtenemos
\[
\frac{4^{\frac{1}{7}}}{9^{\frac{2}{5}} 7^{\frac{1}{7}}} \int x^{\frac{12}{5x} + \frac{1}{35}} \, dx.
\]
La integral de \( x^{\frac{12}{5x} + \frac{1}{35}} \) no tiene una forma elemental simple y puede requerir métodos numéricos o aproximaciones.
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