Sr Examen
Integral de ch(2*x)*cos(pi*n*x) dx
Solución
Ha introducido
[src]
2 / | | cosh(2*x)*cos(pi*n*x) dx | / 0
$$\int\limits_{0}^{2} \cos{\left(x \pi n \right)} \cosh{\left(2 x \right)}\, dx$$
Integral(cosh(2*x)*cos((pi*n)*x), (x, 0, 2))
Respuesta (Indefinida)
[src]
/ / | | | cosh(2*x)*cos(pi*n*x) dx = C + | cos(pi*n*x)*cosh(2*x) dx | | / /
$$\int \cos{\left(x \pi n \right)} \cosh{\left(2 x \right)}\, dx = C + \int \cos{\left(x \pi n \right)} \cosh{\left(2 x \right)}\, dx$$
Respuesta
[src]
2*cos(2*pi*n)*sinh(4) pi*n*cosh(4)*sin(2*pi*n)
--------------------- + ------------------------
2 2 2 2
4 + pi *n 4 + pi *n
$$\frac{\pi n \sin{\left(2 \pi n \right)} \cosh{\left(4 \right)}}{\pi^{2} n^{2} + 4} + \frac{2 \cos{\left(2 \pi n \right)} \sinh{\left(4 \right)}}{\pi^{2} n^{2} + 4}$$
=
=
2*cos(2*pi*n)*sinh(4) pi*n*cosh(4)*sin(2*pi*n)
--------------------- + ------------------------
2 2 2 2
4 + pi *n 4 + pi *n
$$\frac{\pi n \sin{\left(2 \pi n \right)} \cosh{\left(4 \right)}}{\pi^{2} n^{2} + 4} + \frac{2 \cos{\left(2 \pi n \right)} \sinh{\left(4 \right)}}{\pi^{2} n^{2} + 4}$$
2*cos(2*pi*n)*sinh(4)/(4 + pi^2*n^2) + pi*n*cosh(4)*sin(2*pi*n)/(4 + pi^2*n^2)
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.