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