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