Sr Examen
Integral de sec^2x/(tg^2x-9) dx
Solución
Ha introducido
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1 / | | 2 | sec (x) | ----------- dx | 2 | tan (x) - 9 | / 0
$$\int\limits_{0}^{1} \frac{\sec^{2}{\left(x \right)}}{\tan^{2}{\left(x \right)} - 9}\, dx$$
Integral(sec(x)^2/(tan(x)^2 - 9), (x, 0, 1))
Respuesta (Indefinida)
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/ / | | | 2 | 2 | sec (x) | sec (x) | ----------- dx = C + | -------------------------- dx | 2 | (-3 + tan(x))*(3 + tan(x)) | tan (x) - 9 | | / /
$$\int \frac{\sec^{2}{\left(x \right)}}{\tan^{2}{\left(x \right)} - 9}\, dx = C + \int \frac{\sec^{2}{\left(x \right)}}{\left(\tan{\left(x \right)} - 3\right) \left(\tan{\left(x \right)} + 3\right)}\, dx$$
Respuesta
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1 / | | 2 | sec (x) | -------------------------- dx | (-3 + tan(x))*(3 + tan(x)) | / 0
$$\int\limits_{0}^{1} \frac{\sec^{2}{\left(x \right)}}{\left(\tan{\left(x \right)} - 3\right) \left(\tan{\left(x \right)} + 3\right)}\, dx$$
=
=
1 / | | 2 | sec (x) | -------------------------- dx | (-3 + tan(x))*(3 + tan(x)) | / 0
$$\int\limits_{0}^{1} \frac{\sec^{2}{\left(x \right)}}{\left(\tan{\left(x \right)} - 3\right) \left(\tan{\left(x \right)} + 3\right)}\, dx$$
Integral(sec(x)^2/((-3 + tan(x))*(3 + tan(x))), (x, 0, 1))
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.