Sr Examen
Integral de sin(2*x)*sin((1/2+100000)*x) dx
Solución
Ha introducido
[src]
pi / | | sin(2*x)*sin((1/2 + 100000)*x) dx | / 0
$$\int\limits_{0}^{\pi} \sin{\left(2 x \right)} \sin{\left(x \left(\frac{1}{2} + 100000\right) \right)}\, dx$$
Integral(sin(2*x)*sin((1/2 + 100000)*x), (x, 0, pi))
Respuesta (Indefinida)
[src]
2 /200001*x\ 2 /200001*x\ /200001*x\ / 8*sin (x)*sin|--------| 8*cos (x)*sin|--------| 800004*cos(x)*cos|--------|*sin(x) | \ 2 / \ 2 / \ 2 / | sin(2*x)*sin((1/2 + 100000)*x) dx = C - ----------------------- + ----------------------- - ---------------------------------- | 40000399985 40000399985 40000399985 /
$$\int \sin{\left(2 x \right)} \sin{\left(x \left(\frac{1}{2} + 100000\right) \right)}\, dx = C - \frac{8 \sin^{2}{\left(x \right)} \sin{\left(\frac{200001 x}{2} \right)}}{40000399985} - \frac{800004 \sin{\left(x \right)} \cos{\left(x \right)} \cos{\left(\frac{200001 x}{2} \right)}}{40000399985} + \frac{8 \sin{\left(\frac{200001 x}{2} \right)} \cos^{2}{\left(x \right)}}{40000399985}$$
Gráfica
Respuesta
[src]
8/40000399985
$$\frac{8}{40000399985}$$
=
=
8/40000399985
$$\frac{8}{40000399985}$$
8/40000399985
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.