Sr Examen
Integral de (tg^2x)/(cos^2x-4) dx
Solución
Ha introducido
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1 / | | 2 | tan (x) | ----------- dx | 2 | cos (x) - 4 | / 0
$$\int\limits_{0}^{1} \frac{\tan^{2}{\left(x \right)}}{\cos^{2}{\left(x \right)} - 4}\, dx$$
Integral(tan(x)^2/(cos(x)^2 - 4), (x, 0, 1))
Respuesta (Indefinida)
[src]
/ / | | | 2 | 2 | tan (x) | tan (x) | ----------- dx = C + | -------------------------- dx | 2 | (-2 + cos(x))*(2 + cos(x)) | cos (x) - 4 | | / /
$$\int \frac{\tan^{2}{\left(x \right)}}{\cos^{2}{\left(x \right)} - 4}\, dx = C + \int \frac{\tan^{2}{\left(x \right)}}{\left(\cos{\left(x \right)} - 2\right) \left(\cos{\left(x \right)} + 2\right)}\, dx$$
Respuesta
[src]
1 / | | 2 | tan (x) | -------------------------- dx | (-2 + cos(x))*(2 + cos(x)) | / 0
$$\int\limits_{0}^{1} \frac{\tan^{2}{\left(x \right)}}{\left(\cos{\left(x \right)} - 2\right) \left(\cos{\left(x \right)} + 2\right)}\, dx$$
=
=
1 / | | 2 | tan (x) | -------------------------- dx | (-2 + cos(x))*(2 + cos(x)) | / 0
$$\int\limits_{0}^{1} \frac{\tan^{2}{\left(x \right)}}{\left(\cos{\left(x \right)} - 2\right) \left(\cos{\left(x \right)} + 2\right)}\, dx$$
Integral(tan(x)^2/((-2 + cos(x))*(2 + cos(x))), (x, 0, 1))
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.