Sr Examen
Integral de sinh(ax) dx
Solución
Ha introducido
[src]
1 / | | sinh(a*x) dx | / 0
$$\int\limits_{0}^{1} \sinh{\left(a x \right)}\, dx$$
Integral(sinh(a*x), (x, 0, 1))
Respuesta (Indefinida)
[src]
/ //cosh(a*x) \ | ||--------- for a != 0| | sinh(a*x) dx = C + |< a | | || | / \\ 0 otherwise /
$$\int \sinh{\left(a x \right)}\, dx = C + \begin{cases} \frac{\cosh{\left(a x \right)}}{a} & \text{for}\: a \neq 0 \\0 & \text{otherwise} \end{cases}$$
Respuesta
[src]
/ 1 cosh(a) |- - + ------- for And(a > -oo, a < oo, a != 0) < a a | \ 0 otherwise
$$\begin{cases} \frac{\cosh{\left(a \right)}}{a} - \frac{1}{a} & \text{for}\: a > -\infty \wedge a < \infty \wedge a \neq 0 \\0 & \text{otherwise} \end{cases}$$
=
=
/ 1 cosh(a) |- - + ------- for And(a > -oo, a < oo, a != 0) < a a | \ 0 otherwise
$$\begin{cases} \frac{\cosh{\left(a \right)}}{a} - \frac{1}{a} & \text{for}\: a > -\infty \wedge a < \infty \wedge a \neq 0 \\0 & \text{otherwise} \end{cases}$$
Piecewise((-1/a + cosh(a)/a, (a > -oo)∧(a < oo)∧(Ne(a, 0))), (0, True))
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.