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