Sr Examen
Integral de 9/((3x-2)^7)^1/5 dx
Solución
Ha introducido
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1 / | | 9 | --------------- dx | ____________ | 5 / 7 | \/ (3*x - 2) | / 0
$$\int\limits_{0}^{1} \frac{9}{\sqrt[5]{\left(3 x - 2\right)^{7}}}\, dx$$
Integral(9/((3*x - 2)^7)^(1/5), (x, 0, 1))
Respuesta (Indefinida)
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/ / | | | 9 | 1 | --------------- dx = C + 9* | --------------- dx | ____________ | ____________ | 5 / 7 | 5 / 7 | \/ (3*x - 2) | \/ (3*x - 2) | | / /
$$\int \frac{9}{\sqrt[5]{\left(3 x - 2\right)^{7}}}\, dx = C + 9 \int \frac{1}{\sqrt[5]{\left(3 x - 2\right)^{7}}}\, dx$$
Respuesta
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3/5
/ 3/5\ 3*(-2) *Gamma(-2/5)
oo + oo*sign\(-3) / + ---------------------
2*Gamma(3/5)
$$\infty + \frac{3 \left(-2\right)^{\frac{3}{5}} \Gamma\left(- \frac{2}{5}\right)}{2 \Gamma\left(\frac{3}{5}\right)} + \infty \operatorname{sign}{\left(\left(-3\right)^{\frac{3}{5}} \right)}$$
=
=
3/5
/ 3/5\ 3*(-2) *Gamma(-2/5)
oo + oo*sign\(-3) / + ---------------------
2*Gamma(3/5)
$$\infty + \frac{3 \left(-2\right)^{\frac{3}{5}} \Gamma\left(- \frac{2}{5}\right)}{2 \Gamma\left(\frac{3}{5}\right)} + \infty \operatorname{sign}{\left(\left(-3\right)^{\frac{3}{5}} \right)}$$
oo + oo*sign((-3)^(3/5)) + 3*(-2)^(3/5)*gamma(-2/5)/(2*gamma(3/5))
Respuesta numérica
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(7468.92392764231 - 5405.43031519466j)
(7468.92392764231 - 5405.43031519466j)
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.