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