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