Sr Examen
Integral de (1-sinxsin2x-cosxcos2x)^(1/2) dx
Solución
Ha introducido
[src]
2*pi ---- 3 / | | _______________________________________ | \/ 1 - sin(x)*sin(2*x) - cos(x)*cos(2*x) dx | / -pi ---- 3
$$\int\limits_{- \frac{\pi}{3}}^{\frac{2 \pi}{3}} \sqrt{\left(- \sin{\left(x \right)} \sin{\left(2 x \right)} + 1\right) - \cos{\left(x \right)} \cos{\left(2 x \right)}}\, dx$$
Integral(sqrt(1 - sin(x)*sin(2*x) - cos(x)*cos(2*x)), (x, -pi/3, 2*pi/3))
Respuesta
[src]
2*pi ---- 3 / | | _______________________________________ | \/ 1 - cos(x)*cos(2*x) - sin(x)*sin(2*x) dx | / -pi ---- 3
$$\int\limits_{- \frac{\pi}{3}}^{\frac{2 \pi}{3}} \sqrt{- \sin{\left(x \right)} \sin{\left(2 x \right)} - \cos{\left(x \right)} \cos{\left(2 x \right)} + 1}\, dx$$
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2*pi ---- 3 / | | _______________________________________ | \/ 1 - cos(x)*cos(2*x) - sin(x)*sin(2*x) dx | / -pi ---- 3
$$\int\limits_{- \frac{\pi}{3}}^{\frac{2 \pi}{3}} \sqrt{- \sin{\left(x \right)} \sin{\left(2 x \right)} - \cos{\left(x \right)} \cos{\left(2 x \right)} + 1}\, dx$$
Integral(sqrt(1 - cos(x)*cos(2*x) - sin(x)*sin(2*x)), (x, -pi/3, 2*pi/3))
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.