Sr Examen
Integral de sh(x)^2*ch(x)^3 dx
Solución
Ha introducido
[src]
1 / | | 2 3 | sinh (x)*cosh (x) dx | / 0
$$\int\limits_{0}^{1} \sinh^{2}{\left(x \right)} \cosh^{3}{\left(x \right)}\, dx$$
Integral(sinh(x)^2*cosh(x)^3, (x, 0, 1))
Respuesta (Indefinida)
[src]
/ | 5 2 3 | 2 3 2*sinh (x) cosh (x)*sinh (x) | sinh (x)*cosh (x) dx = C - ---------- + ----------------- | 15 3 /
$$\int \sinh^{2}{\left(x \right)} \cosh^{3}{\left(x \right)}\, dx = C - \frac{2 \sinh^{5}{\left(x \right)}}{15} + \frac{\sinh^{3}{\left(x \right)} \cosh^{2}{\left(x \right)}}{3}$$
Gráfica
Respuesta
[src]
5 2 3
2*sinh (1) cosh (1)*sinh (1)
- ---------- + -----------------
15 3
$$- \frac{2 \sinh^{5}{\left(1 \right)}}{15} + \frac{\sinh^{3}{\left(1 \right)} \cosh^{2}{\left(1 \right)}}{3}$$
=
=
5 2 3
2*sinh (1) cosh (1)*sinh (1)
- ---------- + -----------------
15 3
$$- \frac{2 \sinh^{5}{\left(1 \right)}}{15} + \frac{\sinh^{3}{\left(1 \right)} \cosh^{2}{\left(1 \right)}}{3}$$
-2*sinh(1)^5/15 + cosh(1)^2*sinh(1)^3/3
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.