Sr Examen
¿Cómo vas a descomponer esta cos(sqrt(x))/(2*sqrt(x)) expresión en fracciones?
Solución
Ha introducido
[src]
/ ___\
cos\\/ x /
----------
___
2*\/ x
$$\frac{\cos{\left(\sqrt{x} \right)}}{2 \sqrt{x}}$$
cos(sqrt(x))/((2*sqrt(x)))
Denominador racional
[src]
___ / ___\
\/ x *cos\\/ x /
----------------
2*x
$$\frac{\sqrt{x} \cos{\left(\sqrt{x} \right)}}{2 x}$$
sqrt(x)*cos(sqrt(x))/(2*x)
Parte trigonométrica
[src]
/ ___\
2|\/ x |
-1 + cot |-----|
\ 2 /
-------------------------
/ / ___\\
___ | 2|\/ x ||
2*\/ x *|1 + cot |-----||
\ \ 2 //
$$\frac{\cot^{2}{\left(\frac{\sqrt{x}}{2} \right)} - 1}{2 \sqrt{x} \left(\cot^{2}{\left(\frac{\sqrt{x}}{2} \right)} + 1\right)}$$
/ ___\
2|\/ x |
1 - tan |-----|
\ 2 /
-------------------------
/ / ___\\
___ | 2|\/ x ||
2*\/ x *|1 + tan |-----||
\ \ 2 //
$$\frac{1 - \tan^{2}{\left(\frac{\sqrt{x}}{2} \right)}}{2 \sqrt{x} \left(\tan^{2}{\left(\frac{\sqrt{x}}{2} \right)} + 1\right)}$$
/ ___ pi\
sin|\/ x + --|
\ 2 /
---------------
___
2*\/ x
$$\frac{\sin{\left(\sqrt{x} + \frac{\pi}{2} \right)}}{2 \sqrt{x}}$$
1 / ___\
-------*cos\\/ x /
___
2*\/ x
$$\frac{1}{2 \sqrt{x}} \cos{\left(\sqrt{x} \right)}$$
1
-----------------------
___ /pi ___\
2*\/ x *csc|-- - \/ x |
\2 /
$$\frac{1}{2 \sqrt{x} \csc{\left(- \sqrt{x} + \frac{\pi}{2} \right)}}$$
1
------------------
___ / ___\
2*\/ x *sec\\/ x /
$$\frac{1}{2 \sqrt{x} \sec{\left(\sqrt{x} \right)}}$$
1/(2*sqrt(x)*sec(sqrt(x)))
Potencias
[src]
___ ___
I*\/ x -I*\/ x
e e
-------- + ---------
2 2
--------------------
___
2*\/ x
$$\frac{\frac{e^{i \sqrt{x}}}{2} + \frac{e^{- i \sqrt{x}}}{2}}{2 \sqrt{x}}$$
(exp(i*sqrt(x))/2 + exp(-i*sqrt(x))/2)/(2*sqrt(x))