Integral de x*sh(x) dx
Solución
Respuesta (Indefinida)
[src]
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| x*sinh(x) dx = C - sinh(x) + x*cosh(x)
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$$\int x \sinh{\left(x \right)}\, dx = C + x \cosh{\left(x \right)} - \sinh{\left(x \right)}$$
cosh(1/2) cosh(1/10)
--------- - sinh(1/2) - ---------- + sinh(1/10)
2 10
$$- \sinh{\left(\frac{1}{2} \right)} - \frac{\cosh{\left(\frac{1}{10} \right)}}{10} + \sinh{\left(\frac{1}{10} \right)} + \frac{\cosh{\left(\frac{1}{2} \right)}}{2}$$
=
cosh(1/2) cosh(1/10)
--------- - sinh(1/2) - ---------- + sinh(1/10)
2 10
$$- \sinh{\left(\frac{1}{2} \right)} - \frac{\cosh{\left(\frac{1}{10} \right)}}{10} + \sinh{\left(\frac{1}{10} \right)} + \frac{\cosh{\left(\frac{1}{2} \right)}}{2}$$
cosh(1/2)/2 - sinh(1/2) - cosh(1/10)/10 + sinh(1/10)
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.