Sr Examen
Integral de sqrt(1250(1+sin(x)sin(5x)-cosx*cos(5x))) dx
Solución
Ha introducido
[src]
2*pi / | | ______________________________________________ | \/ 1250*(1 + sin(x)*sin(5*x) - cos(x)*cos(5*x)) dx | / 0
$$\int\limits_{0}^{2 \pi} \sqrt{1250 \left(\left(\sin{\left(x \right)} \sin{\left(5 x \right)} + 1\right) - \cos{\left(x \right)} \cos{\left(5 x \right)}\right)}\, dx$$
Integral(sqrt(1250*(1 + sin(x)*sin(5*x) - cos(x)*cos(5*x))), (x, 0, 2*pi))
Respuesta (Indefinida)
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/ / | | | ______________________________________________ ___ | _______________________________________ | \/ 1250*(1 + sin(x)*sin(5*x) - cos(x)*cos(5*x)) dx = C + 25*\/ 2 * | \/ 1 + sin(x)*sin(5*x) - cos(x)*cos(5*x) dx | | / /
$$\int \sqrt{1250 \left(\left(\sin{\left(x \right)} \sin{\left(5 x \right)} + 1\right) - \cos{\left(x \right)} \cos{\left(5 x \right)}\right)}\, dx = C + 25 \sqrt{2} \int \sqrt{\sin{\left(x \right)} \sin{\left(5 x \right)} - \cos{\left(x \right)} \cos{\left(5 x \right)} + 1}\, dx$$
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.