Sr Examen
Integral de x*tan(x)*tan(x) dx
Solución
Ha introducido
[src]
p - 4 / | | x*tan(x)*tan(x) dx | / 0
$$\int\limits_{0}^{\frac{p}{4}} x \tan{\left(x \right)} \tan{\left(x \right)}\, dx$$
Integral((x*tan(x))*tan(x), (x, 0, p/4))
Respuesta (Indefinida)
[src]
/ 2 / 2 \ | x log\1 + tan (x)/ | x*tan(x)*tan(x) dx = C - -- - ---------------- + x*tan(x) | 2 2 /
$$\int x \tan{\left(x \right)} \tan{\left(x \right)}\, dx = C - \frac{x^{2}}{2} + x \tan{\left(x \right)} - \frac{\log{\left(\tan^{2}{\left(x \right)} + 1 \right)}}{2}$$
Respuesta
[src]
/ 2/p\\ /p\
log|1 + tan |-|| 2 p*tan|-|
\ \4// p \4/
- ---------------- - -- + --------
2 32 4
$$- \frac{p^{2}}{32} + \frac{p \tan{\left(\frac{p}{4} \right)}}{4} - \frac{\log{\left(\tan^{2}{\left(\frac{p}{4} \right)} + 1 \right)}}{2}$$
=
=
/ 2/p\\ /p\
log|1 + tan |-|| 2 p*tan|-|
\ \4// p \4/
- ---------------- - -- + --------
2 32 4
$$- \frac{p^{2}}{32} + \frac{p \tan{\left(\frac{p}{4} \right)}}{4} - \frac{\log{\left(\tan^{2}{\left(\frac{p}{4} \right)} + 1 \right)}}{2}$$
-log(1 + tan(p/4)^2)/2 - p^2/32 + p*tan(p/4)/4
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.