Sr Examen
Integral de sin(t)/t^2 dt
Solución
Ha introducido
[src]
3*x / | | sin(t) | ------ dt | 2 | t | / x
$$\int\limits_{x}^{3 x} \frac{\sin{\left(t \right)}}{t^{2}}\, dt$$
Integral(sin(t)/t^2, (t, x, 3*x))
Respuesta (Indefinida)
[src]
/ / | | | sin(t) | sin(t) | ------ dt = C + | ------ dt | 2 | 2 | t | t | | / /
$$\int \frac{\sin{\left(t \right)}}{t^{2}}\, dt = C + \int \frac{\sin{\left(t \right)}}{t^{2}}\, dt$$
Respuesta
[src]
/ 2\ / 2\
log\9*x / log\x / sin(x) sin(3*x)
--------- - Ci(x) - log(3*x) - ------- + ------ - -------- + Ci(3*x) + log(x)
2 2 x 3*x
$$\log{\left(x \right)} - \log{\left(3 x \right)} - \frac{\log{\left(x^{2} \right)}}{2} + \frac{\log{\left(9 x^{2} \right)}}{2} - \operatorname{Ci}{\left(x \right)} + \operatorname{Ci}{\left(3 x \right)} + \frac{\sin{\left(x \right)}}{x} - \frac{\sin{\left(3 x \right)}}{3 x}$$
=
=
/ 2\ / 2\
log\9*x / log\x / sin(x) sin(3*x)
--------- - Ci(x) - log(3*x) - ------- + ------ - -------- + Ci(3*x) + log(x)
2 2 x 3*x
$$\log{\left(x \right)} - \log{\left(3 x \right)} - \frac{\log{\left(x^{2} \right)}}{2} + \frac{\log{\left(9 x^{2} \right)}}{2} - \operatorname{Ci}{\left(x \right)} + \operatorname{Ci}{\left(3 x \right)} + \frac{\sin{\left(x \right)}}{x} - \frac{\sin{\left(3 x \right)}}{3 x}$$
log(9*x^2)/2 - Ci(x) - log(3*x) - log(x^2)/2 + sin(x)/x - sin(3*x)/(3*x) + Ci(3*x) + log(x)
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.