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