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