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