Dickson Alexander
06/02/2023 · Primary School
\( \int ( \sqrt { x + 7 } \sqrt { x } ) d x \)
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Para resolver la integral \( \int ( \sqrt{x + 7} \sqrt{x} ) \, dx \), simplifiquemos la expresión dentro de la integral a \( \sqrt{x^2 + 7x} \). Luego, completamos el cuadrado y utilizamos sustitución trigonométrica para resolverla. El resultado final es \( \frac{2}{3} (x + 7)^{3/2} - \frac{14}{3} (x + 7)^{1/2} + C \), donde \( C \) es la constante de integración.
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