Sr Examen
Integral de xacos(tan(x)(x)) dx
Solución
Ha introducido
[src]
1 / | | x*acos(tan(x)*x) dx | / 0
$$\int\limits_{0}^{1} x \operatorname{acos}{\left(x \tan{\left(x \right)} \right)}\, dx$$
Integral(x*acos(tan(x)*x), (x, 0, 1))
Respuesta (Indefinida)
[src]
/ / /
| | |
| 3 | 2 | 3 2
| x | x *tan(x) | x *tan (x)
| ----------------------------------- dx | ----------------------------------- dx | ----------------------------------- dx
| _________________________________ | _________________________________ | _________________________________
| \/ -(1 + x*tan(x))*(-1 + x*tan(x)) | \/ -(1 + x*tan(x))*(-1 + x*tan(x)) | \/ -(1 + x*tan(x))*(-1 + x*tan(x))
/ | | | 2
| / / / x *acos(tan(x)*x)
| x*acos(tan(x)*x) dx = C + ----------------------------------------- + ----------------------------------------- + ----------------------------------------- + -----------------
| 2 2 2 2
/
$$\int x \operatorname{acos}{\left(x \tan{\left(x \right)} \right)}\, dx = C + \frac{x^{2} \operatorname{acos}{\left(x \tan{\left(x \right)} \right)}}{2} + \frac{\int \frac{x^{3}}{\sqrt{- \left(x \tan{\left(x \right)} - 1\right) \left(x \tan{\left(x \right)} + 1\right)}}\, dx}{2} + \frac{\int \frac{x^{2} \tan{\left(x \right)}}{\sqrt{- \left(x \tan{\left(x \right)} - 1\right) \left(x \tan{\left(x \right)} + 1\right)}}\, dx}{2} + \frac{\int \frac{x^{3} \tan^{2}{\left(x \right)}}{\sqrt{- \left(x \tan{\left(x \right)} - 1\right) \left(x \tan{\left(x \right)} + 1\right)}}\, dx}{2}$$
Respuesta numérica
[src]
(0.394257460195448 + 0.0864310318714141j)
(0.394257460195448 + 0.0864310318714141j)
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.