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