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