Sr Examen
Integral de (sin(2*ln(x))+ln2x)/x dx
Solución
Ha introducido
[src]
1 / | | sin(2*log(x)) + log(2*x) | ------------------------ dx | x | / 0
$$\int\limits_{0}^{1} \frac{\log{\left(2 x \right)} + \sin{\left(2 \log{\left(x \right)} \right)}}{x}\, dx$$
Integral((sin(2*log(x)) + log(2*x))/x, (x, 0, 1))
Respuesta (Indefinida)
[src]
/ | 2 | sin(2*log(x)) + log(2*x) log (x) cos(2*log(x)) | ------------------------ dx = C + ------- - ------------- + log(2)*log(x) | x 2 2 | /
$$\int \frac{\log{\left(2 x \right)} + \sin{\left(2 \log{\left(x \right)} \right)}}{x}\, dx = C + \frac{\log{\left(x \right)}^{2}}{2} + \log{\left(2 \right)} \log{\left(x \right)} - \frac{\cos{\left(2 \log{\left(x \right)} \right)}}{2}$$
Respuesta
[src]
1 / | | log(2*x) + sin(2*log(x)) | ------------------------ dx | x | / 0
$$\int\limits_{0}^{1} \frac{\log{\left(2 x \right)} + \sin{\left(2 \log{\left(x \right)} \right)}}{x}\, dx$$
=
=
1 / | | log(2*x) + sin(2*log(x)) | ------------------------ dx | x | / 0
$$\int\limits_{0}^{1} \frac{\log{\left(2 x \right)} + \sin{\left(2 \log{\left(x \right)} \right)}}{x}\, dx$$
Integral((log(2*x) + sin(2*log(x)))/x, (x, 0, 1))
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.