Sr Examen
Integral de 1/(sec²x×(sec²x-4)^½)dx dx
Solución
Ha introducido
[src]
1 / | | 1 | ------------------------ dx | _____________ | 2 / 2 | sec (x)*\/ sec (x) - 4 | / 0
$$\int\limits_{0}^{1} \frac{1}{\sqrt{\sec^{2}{\left(x \right)} - 4} \sec^{2}{\left(x \right)}}\, dx$$
Integral(1/(sec(x)^2*sqrt(sec(x)^2 - 4)), (x, 0, 1))
Respuesta (Indefinida)
[src]
/ / | | | 1 | 1 | ------------------------ dx = C + | -------------------------------------- dx | _____________ | ____________________________ 2 | 2 / 2 | \/ (-2 + sec(x))*(2 + sec(x)) *sec (x) | sec (x)*\/ sec (x) - 4 | | / /
$$\int \frac{1}{\sqrt{\sec^{2}{\left(x \right)} - 4} \sec^{2}{\left(x \right)}}\, dx = C + \int \frac{1}{\sqrt{\left(\sec{\left(x \right)} - 2\right) \left(\sec{\left(x \right)} + 2\right)} \sec^{2}{\left(x \right)}}\, dx$$
Respuesta
[src]
1 / | | 1 | -------------------------------------- dx | ____________________________ 2 | \/ (-2 + sec(x))*(2 + sec(x)) *sec (x) | / 0
$$\int\limits_{0}^{1} \frac{1}{\sqrt{\left(\sec{\left(x \right)} - 2\right) \left(\sec{\left(x \right)} + 2\right)} \sec^{2}{\left(x \right)}}\, dx$$
=
=
1 / | | 1 | -------------------------------------- dx | ____________________________ 2 | \/ (-2 + sec(x))*(2 + sec(x)) *sec (x) | / 0
$$\int\limits_{0}^{1} \frac{1}{\sqrt{\left(\sec{\left(x \right)} - 2\right) \left(\sec{\left(x \right)} + 2\right)} \sec^{2}{\left(x \right)}}\, dx$$
Integral(1/(sqrt((-2 + sec(x))*(2 + sec(x)))*sec(x)^2), (x, 0, 1))
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.