Sr Examen
Integral de e^tanx/cos²(x) dx
Solución
Ha introducido
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pi -- 4 / | | tan(x) | E | ------- dx | 2 | cos (x) | / 0
$$\int\limits_{0}^{\frac{\pi}{4}} \frac{e^{\tan{\left(x \right)}}}{\cos^{2}{\left(x \right)}}\, dx$$
Integral(E^tan(x)/cos(x)^2, (x, 0, pi/4))
Respuesta (Indefinida)
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/ / | | | tan(x) | tan(x) | E | e | ------- dx = C + | ------- dx | 2 | 2 | cos (x) | cos (x) | | / /
$$\int \frac{e^{\tan{\left(x \right)}}}{\cos^{2}{\left(x \right)}}\, dx = C + \int \frac{e^{\tan{\left(x \right)}}}{\cos^{2}{\left(x \right)}}\, dx$$
Respuesta
[src]
pi -- 4 / | | tan(x) | e | ------- dx | 2 | cos (x) | / 0
$$\int\limits_{0}^{\frac{\pi}{4}} \frac{e^{\tan{\left(x \right)}}}{\cos^{2}{\left(x \right)}}\, dx$$
=
=
pi -- 4 / | | tan(x) | e | ------- dx | 2 | cos (x) | / 0
$$\int\limits_{0}^{\frac{\pi}{4}} \frac{e^{\tan{\left(x \right)}}}{\cos^{2}{\left(x \right)}}\, dx$$
Integral(exp(tan(x))/cos(x)^2, (x, 0, pi/4))
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.