Sr Examen
Integral de 1/sqrt(4*sin(10.1/2)^2-4*sin(x/2)^2) dx
Solución
Ha introducido
[src]
101 --- 10 / | | 1 | ------------------------------ dx | __________________________ | / 2/101 \ 2/x\ | / 4*sin |----| - 4*sin |-| | \/ \10*2/ \2/ | / 0
$$\int\limits_{0}^{\frac{101}{10}} \frac{1}{\sqrt{- 4 \sin^{2}{\left(\frac{x}{2} \right)} + 4 \sin^{2}{\left(\frac{101}{2 \cdot 10} \right)}}}\, dx$$
Integral(1/(sqrt(4*sin(101/(10*2))^2 - 4*sin(x/2)^2)), (x, 0, 101/10))
Respuesta
[src]
101
---
10
/
|
| 1
| ------------------------- dx
| _____________________
| / 2/101\ 2/x\
| / sin |---| - sin |-|
| \/ \ 20/ \2/
|
/
0
--------------------------------
2
$$\frac{\int\limits_{0}^{\frac{101}{10}} \frac{1}{\sqrt{- \sin^{2}{\left(\frac{x}{2} \right)} + \sin^{2}{\left(\frac{101}{20} \right)}}}\, dx}{2}$$
=
=
101
---
10
/
|
| 1
| ------------------------- dx
| _____________________
| / 2/101\ 2/x\
| / sin |---| - sin |-|
| \/ \ 20/ \2/
|
/
0
--------------------------------
2
$$\frac{\int\limits_{0}^{\frac{101}{10}} \frac{1}{\sqrt{- \sin^{2}{\left(\frac{x}{2} \right)} + \sin^{2}{\left(\frac{101}{20} \right)}}}\, dx}{2}$$
Integral(1/sqrt(sin(101/20)^2 - sin(x/2)^2), (x, 0, 101/10))/2
Respuesta numérica
[src]
(8.1914735318177 - 5.56628745101954j)
(8.1914735318177 - 5.56628745101954j)
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.