Sr Examen
Integral de cos(x)/(6-5sin(x)+sin^2(x)) dx
Solución
Ha introducido
[src]
1 / | | cos(x) | ---------------------- dx | 2 | 6 - 5*sin(x) + sin (x) | / 0
$$\int\limits_{0}^{1} \frac{\cos{\left(x \right)}}{\left(6 - 5 \sin{\left(x \right)}\right) + \sin^{2}{\left(x \right)}}\, dx$$
Integral(cos(x)/(6 - 5*sin(x) + sin(x)^2), (x, 0, 1))
Respuesta (Indefinida)
[src]
/ | | cos(x) | ---------------------- dx = C - log(-2 + sin(x)) + log(-3 + sin(x)) | 2 | 6 - 5*sin(x) + sin (x) | /
$$\int \frac{\cos{\left(x \right)}}{\left(6 - 5 \sin{\left(x \right)}\right) + \sin^{2}{\left(x \right)}}\, dx = C + \log{\left(\sin{\left(x \right)} - 3 \right)} - \log{\left(\sin{\left(x \right)} - 2 \right)}$$
Gráfica
Respuesta
[src]
-log(3) - log(2 - sin(1)) + log(2) + log(3 - sin(1))
$$- \log{\left(3 \right)} - \log{\left(2 - \sin{\left(1 \right)} \right)} + \log{\left(2 \right)} + \log{\left(3 - \sin{\left(1 \right)} \right)}$$
=
=
-log(3) - log(2 - sin(1)) + log(2) + log(3 - sin(1))
$$- \log{\left(3 \right)} - \log{\left(2 - \sin{\left(1 \right)} \right)} + \log{\left(2 \right)} + \log{\left(3 - \sin{\left(1 \right)} \right)}$$
-log(3) - log(2 - sin(1)) + log(2) + log(3 - sin(1))
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.