Sr Examen
Integral de (е^tgx-7sinx+5sin2x)/cos^2x dx
Solución
Ha introducido
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1 / | | tan(x) | E - 7*sin(x) + 5*sin(2*x) | ------------------------------- dx | 2 | cos (x) | / 0
$$\int\limits_{0}^{1} \frac{\left(e^{\tan{\left(x \right)}} - 7 \sin{\left(x \right)}\right) + 5 \sin{\left(2 x \right)}}{\cos^{2}{\left(x \right)}}\, dx$$
Integral((E^tan(x) - 7*sin(x) + 5*sin(2*x))/cos(x)^2, (x, 0, 1))
Respuesta (Indefinida)
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/ / | | | tan(x) | tan(x) | E - 7*sin(x) + 5*sin(2*x) 7 | e | ------------------------------- dx = C - 10*log(cos(x)) - ------ + | ------- dx | 2 cos(x) | 2 | cos (x) | cos (x) | | / /
$$\int \frac{\left(e^{\tan{\left(x \right)}} - 7 \sin{\left(x \right)}\right) + 5 \sin{\left(2 x \right)}}{\cos^{2}{\left(x \right)}}\, dx = C - 10 \log{\left(\cos{\left(x \right)} \right)} + \int \frac{e^{\tan{\left(x \right)}}}{\cos^{2}{\left(x \right)}}\, dx - \frac{7}{\cos{\left(x \right)}}$$
Respuesta
[src]
1 / | | tan(x) | -7*sin(x) + 5*sin(2*x) + e | -------------------------------- dx | 2 | cos (x) | / 0
$$\int\limits_{0}^{1} \frac{e^{\tan{\left(x \right)}} - 7 \sin{\left(x \right)} + 5 \sin{\left(2 x \right)}}{\cos^{2}{\left(x \right)}}\, dx$$
=
=
1 / | | tan(x) | -7*sin(x) + 5*sin(2*x) + e | -------------------------------- dx | 2 | cos (x) | / 0
$$\int\limits_{0}^{1} \frac{e^{\tan{\left(x \right)}} - 7 \sin{\left(x \right)} + 5 \sin{\left(2 x \right)}}{\cos^{2}{\left(x \right)}}\, dx$$
Integral((-7*sin(x) + 5*sin(2*x) + exp(tan(x)))/cos(x)^2, (x, 0, 1))
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.