Sr Examen
Resolución de integrales/
(x^2*sin(x)/cos(x)*sqrt(x^2)*sin(2x)*(2)*sin(x)++tg(x)/sqrt(tg(x))*sin(x))/(sin(x)+cos(x))
Integral de (x^2*sin(x)/cos(x)*sqrt(x^2)*sin(2x)*(2)*sin(x)++tg(x)/sqrt(tg(x))*sin(x))/(sin(x)+cos(x)) dx
Solución
Ha introducido
[src]
p - 2 / | | 2 ____ | x *sin(x) / 2 tan(x) | ---------*\/ x *sin(2*x)*2*sin(x) + ----------*sin(x) | cos(x) ________ | \/ tan(x) | ------------------------------------------------------- dx | sin(x) + cos(x) | / -p --- 2
$$\int\limits_{- \frac{p}{2}}^{\frac{p}{2}} \frac{\frac{\tan{\left(x \right)}}{\sqrt{\tan{\left(x \right)}}} \sin{\left(x \right)} + 2 \frac{x^{2} \sin{\left(x \right)}}{\cos{\left(x \right)}} \sqrt{x^{2}} \sin{\left(2 x \right)} \sin{\left(x \right)}}{\sin{\left(x \right)} + \cos{\left(x \right)}}\, dx$$
Integral(((((((x^2*sin(x))/cos(x))*sqrt(x^2))*sin(2*x))*2)*sin(x) + (tan(x)/sqrt(tan(x)))*sin(x))/(sin(x) + cos(x)), (x, -p/2, p/2))
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.