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