Sr Examen
Integral de sinx/((cosx)^2-4) dx
Solución
Ha introducido
[src]
1 / | | sin(x) | ----------- dx | 2 | cos (x) - 4 | / 0
$$\int\limits_{0}^{1} \frac{\sin{\left(x \right)}}{\cos^{2}{\left(x \right)} - 4}\, dx$$
Integral(sin(x)/(cos(x)^2 - 4), (x, 0, 1))
Respuesta (Indefinida)
[src]
/ | | sin(x) log(-2 + cos(x)) log(2 + cos(x)) | ----------- dx = C - ---------------- + --------------- | 2 4 4 | cos (x) - 4 | /
$$\int \frac{\sin{\left(x \right)}}{\cos^{2}{\left(x \right)} - 4}\, dx = C - \frac{\log{\left(\cos{\left(x \right)} - 2 \right)}}{4} + \frac{\log{\left(\cos{\left(x \right)} + 2 \right)}}{4}$$
Gráfica
Respuesta
[src]
log(3) log(2 - cos(1)) log(2 + cos(1))
- ------ - --------------- + ---------------
4 4 4
$$- \frac{\log{\left(3 \right)}}{4} - \frac{\log{\left(2 - \cos{\left(1 \right)} \right)}}{4} + \frac{\log{\left(\cos{\left(1 \right)} + 2 \right)}}{4}$$
=
=
log(3) log(2 - cos(1)) log(2 + cos(1))
- ------ - --------------- + ---------------
4 4 4
$$- \frac{\log{\left(3 \right)}}{4} - \frac{\log{\left(2 - \cos{\left(1 \right)} \right)}}{4} + \frac{\log{\left(\cos{\left(1 \right)} + 2 \right)}}{4}$$
-log(3)/4 - log(2 - cos(1))/4 + log(2 + cos(1))/4
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.