Sr Examen
Integral de (sin(5x))/(1+4*cos(5x)*cos(5x)) dx
Solución
Ha introducido
[src]
1 / | | sin(5*x) | ----------------------- dx | 1 + 4*cos(5*x)*cos(5*x) | / 0
$$\int\limits_{0}^{1} \frac{\sin{\left(5 x \right)}}{\cos{\left(5 x \right)} 4 \cos{\left(5 x \right)} + 1}\, dx$$
Integral(sin(5*x)/(1 + (4*cos(5*x))*cos(5*x)), (x, 0, 1))
Respuesta (Indefinida)
[src]
/ | | sin(5*x) atan(2*cos(5*x)) | ----------------------- dx = C - ---------------- | 1 + 4*cos(5*x)*cos(5*x) 10 | /
$$\int \frac{\sin{\left(5 x \right)}}{\cos{\left(5 x \right)} 4 \cos{\left(5 x \right)} + 1}\, dx = C - \frac{\operatorname{atan}{\left(2 \cos{\left(5 x \right)} \right)}}{10}$$
Gráfica
Respuesta
[src]
atan(2*cos(5)) atan(2)
- -------------- + -------
10 10
$$- \frac{\operatorname{atan}{\left(2 \cos{\left(5 \right)} \right)}}{10} + \frac{\operatorname{atan}{\left(2 \right)}}{10}$$
=
=
atan(2*cos(5)) atan(2)
- -------------- + -------
10 10
$$- \frac{\operatorname{atan}{\left(2 \cos{\left(5 \right)} \right)}}{10} + \frac{\operatorname{atan}{\left(2 \right)}}{10}$$
-atan(2*cos(5))/10 + atan(2)/10
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.