Sr Examen
Integral de cos(x)/(sin²(x)-5sin(x)+6) dx
Solución
Ha introducido
[src]
157 --- 100 / | | cos(x) | ---------------------- dx | 2 | sin (x) - 5*sin(x) + 6 | / 0
$$\int\limits_{0}^{\frac{157}{100}} \frac{\cos{\left(x \right)}}{\left(\sin^{2}{\left(x \right)} - 5 \sin{\left(x \right)}\right) + 6}\, dx$$
Integral(cos(x)/(sin(x)^2 - 5*sin(x) + 6), (x, 0, 157/100))
Respuesta (Indefinida)
[src]
/ | | cos(x) | ---------------------- dx = C - log(-2 + sin(x)) + log(-3 + sin(x)) | 2 | sin (x) - 5*sin(x) + 6 | /
$$\int \frac{\cos{\left(x \right)}}{\left(\sin^{2}{\left(x \right)} - 5 \sin{\left(x \right)}\right) + 6}\, dx = C + \log{\left(\sin{\left(x \right)} - 3 \right)} - \log{\left(\sin{\left(x \right)} - 2 \right)}$$
Gráfica
Respuesta
[src]
/ /157\\ / /157\\
-log(3) - log|2 - sin|---|| + log(2) + log|3 - sin|---||
\ \100// \ \100//
$$- \log{\left(3 \right)} - \log{\left(2 - \sin{\left(\frac{157}{100} \right)} \right)} + \log{\left(2 \right)} + \log{\left(3 - \sin{\left(\frac{157}{100} \right)} \right)}$$
=
=
/ /157\\ / /157\\
-log(3) - log|2 - sin|---|| + log(2) + log|3 - sin|---||
\ \100// \ \100//
$$- \log{\left(3 \right)} - \log{\left(2 - \sin{\left(\frac{157}{100} \right)} \right)} + \log{\left(2 \right)} + \log{\left(3 - \sin{\left(\frac{157}{100} \right)} \right)}$$
-log(3) - log(2 - sin(157/100)) + log(2) + log(3 - sin(157/100))
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.