Sr Examen
Integral de log3x²sec6xdx dx
Solución
Ha introducido
[src]
1 / | | 2 | log (3*x)*sec(6*x) dx | / 0
$$\int\limits_{0}^{1} \log{\left(3 x \right)}^{2} \sec{\left(6 x \right)}\, dx$$
Integral(log(3*x)^2*sec(6*x), (x, 0, 1))
Respuesta (Indefinida)
[src]
/ / \
| | |
| | log(sec(6*x) + tan(6*x)) |
| | ------------------------ dx |
/ | | x | /
| | | | 2 |
| 2 | / log(x)*log(sec(6*x) + tan(6*x))| log (3)*log(sec(6*x) + tan(6*x)) | 2
| log (3*x)*sec(6*x) dx = C + 2*|- ------------------------------ + -------------------------------|*log(3) + -------------------------------- + | log (x)*sec(6*x) dx
| \ 6 6 / 6 |
/ /
$$\int \log{\left(3 x \right)}^{2} \sec{\left(6 x \right)}\, dx = C + 2 \left(\frac{\log{\left(x \right)} \log{\left(\tan{\left(6 x \right)} + \sec{\left(6 x \right)} \right)}}{6} - \frac{\int \frac{\log{\left(\tan{\left(6 x \right)} + \sec{\left(6 x \right)} \right)}}{x}\, dx}{6}\right) \log{\left(3 \right)} + \frac{\log{\left(3 \right)}^{2} \log{\left(\tan{\left(6 x \right)} + \sec{\left(6 x \right)} \right)}}{6} + \int \log{\left(x \right)}^{2} \sec{\left(6 x \right)}\, dx$$
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.