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