Sr Examen
Integral de arctg(3x)/(x^3+4x^2-8x+3)^1/5 dx
Solución
Ha introducido
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oo / | | atan(3*x) | ------------------------ dx | _____________________ | 5 / 3 2 | \/ x + 4*x - 8*x + 3 | / 2
$$\int\limits_{2}^{\infty} \frac{\operatorname{atan}{\left(3 x \right)}}{\sqrt[5]{\left(- 8 x + \left(x^{3} + 4 x^{2}\right)\right) + 3}}\, dx$$
Integral(atan(3*x)/(x^3 + 4*x^2 - 8*x + 3)^(1/5), (x, 2, oo))
Respuesta
[src]
oo / | | atan(3*x) | ----------------------------- dx | __________________________ | 5 / / 2 \ | \/ (-1 + x)*\-3 + x + 5*x/ | / 2
$$\int\limits_{2}^{\infty} \frac{\operatorname{atan}{\left(3 x \right)}}{\sqrt[5]{\left(x - 1\right) \left(x^{2} + 5 x - 3\right)}}\, dx$$
=
=
oo / | | atan(3*x) | ----------------------------- dx | __________________________ | 5 / / 2 \ | \/ (-1 + x)*\-3 + x + 5*x/ | / 2
$$\int\limits_{2}^{\infty} \frac{\operatorname{atan}{\left(3 x \right)}}{\sqrt[5]{\left(x - 1\right) \left(x^{2} + 5 x - 3\right)}}\, dx$$
Integral(atan(3*x)/((-1 + x)*(-3 + x^2 + 5*x))^(1/5), (x, 2, oo))
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.