Sr Examen
Integral de (1+tg^2(x))*((3tgx-5)^1/5) dx
Solución
Ha introducido
[src]
1 / | | / 2 \ 5 ______________ | \1 + tan (x)/*\/ 3*tan(x) - 5 dx | / 0
$$\int\limits_{0}^{1} \sqrt[5]{3 \tan{\left(x \right)} - 5} \left(\tan^{2}{\left(x \right)} + 1\right)\, dx$$
Integral((1 + tan(x)^2)*(3*tan(x) - 5)^(1/5), (x, 0, 1))
Respuesta (Indefinida)
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/ / / | | | | / 2 \ 5 ______________ | 5 _______________ | 5 _______________ 2 | \1 + tan (x)/*\/ 3*tan(x) - 5 dx = C + | \/ -5 + 3*tan(x) dx + | \/ -5 + 3*tan(x) *tan (x) dx | | | / / /
$$\int \sqrt[5]{3 \tan{\left(x \right)} - 5} \left(\tan^{2}{\left(x \right)} + 1\right)\, dx = C + \int \sqrt[5]{3 \tan{\left(x \right)} - 5} \tan^{2}{\left(x \right)}\, dx + \int \sqrt[5]{3 \tan{\left(x \right)} - 5}\, dx$$
Gráfica
Respuesta
[src]
5 _______________ 5 ____ 5 _______________
25*\/ -5 + 3*tan(1) 25*\/ -5 5*\/ -5 + 3*tan(1) *tan(1)
- -------------------- + --------- + --------------------------
18 18 6
$$- \frac{25 \sqrt[5]{-5 + 3 \tan{\left(1 \right)}}}{18} + \frac{5 \sqrt[5]{-5 + 3 \tan{\left(1 \right)}} \tan{\left(1 \right)}}{6} + \frac{25 \sqrt[5]{-5}}{18}$$
=
=
5 _______________ 5 ____ 5 _______________
25*\/ -5 + 3*tan(1) 25*\/ -5 5*\/ -5 + 3*tan(1) *tan(1)
- -------------------- + --------- + --------------------------
18 18 6
$$- \frac{25 \sqrt[5]{-5 + 3 \tan{\left(1 \right)}}}{18} + \frac{5 \sqrt[5]{-5 + 3 \tan{\left(1 \right)}} \tan{\left(1 \right)}}{6} + \frac{25 \sqrt[5]{-5}}{18}$$
-25*(-5 + 3*tan(1))^(1/5)/18 + 25*(-5)^(1/5)/18 + 5*(-5 + 3*tan(1))^(1/5)*tan(1)/6
Respuesta numérica
[src]
(1.49138043474431 + 1.08355131127686j)
(1.49138043474431 + 1.08355131127686j)
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.