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