Unión de expresiones racionales
[src]
-2*x*cos(2*x) + sin(2*x)
------------------------
2*cos(2*x)
$$\frac{- 2 x \cos{\left(2 x \right)} + \sin{\left(2 x \right)}}{2 \cos{\left(2 x \right)}}$$
(-2*x*cos(2*x) + sin(2*x))/(2*cos(2*x))
Denominador racional
[src]
-2*x*cos(2*x) + sin(2*x)
------------------------
2*cos(2*x)
$$\frac{- 2 x \cos{\left(2 x \right)} + \sin{\left(2 x \right)}}{2 \cos{\left(2 x \right)}}$$
(-2*x*cos(2*x) + sin(2*x))/(2*cos(2*x))
/ -2*I*x 2*I*x\
I*\- e + e /
-x - ----------------------
/ -2*I*x 2*I*x\
2*\e + e /
$$- x - \frac{i \left(e^{2 i x} - e^{- 2 i x}\right)}{2 \left(e^{2 i x} + e^{- 2 i x}\right)}$$
-x - i*(-exp(-2*i*x) + exp(2*i*x))/(2*(exp(-2*i*x) + exp(2*i*x)))
-(-sin(2*x) + 2*x*cos(2*x))
----------------------------
2*cos(2*x)
$$- \frac{2 x \cos{\left(2 x \right)} - \sin{\left(2 x \right)}}{2 \cos{\left(2 x \right)}}$$
-(-sin(2*x) + 2*x*cos(2*x))/(2*cos(2*x))
Abrimos la expresión
[src]
cos(x)*sin(x)
-x + --------------
2
-1 + 2*cos (x)
$$- x + \frac{\sin{\left(x \right)} \cos{\left(x \right)}}{2 \cos^{2}{\left(x \right)} - 1}$$
-x + cos(x)*sin(x)/(-1 + 2*cos(x)^2)
Parte trigonométrica
[src]
sin(2*x)
-x + ---------------
/pi \
2*sin|-- + 2*x|
\2 /
$$- x + \frac{\sin{\left(2 x \right)}}{2 \sin{\left(2 x + \frac{\pi}{2} \right)}}$$
/pi \
csc|-- - 2*x|
\2 /
-x + -------------
2*csc(2*x)
$$- x + \frac{\csc{\left(- 2 x + \frac{\pi}{2} \right)}}{2 \csc{\left(2 x \right)}}$$
sec(2*x)
-x + ---------------
/ pi\
2*sec|2*x - --|
\ 2 /
$$- x + \frac{\sec{\left(2 x \right)}}{2 \sec{\left(2 x - \frac{\pi}{2} \right)}}$$
tan(x)
-x + -----------
2
1 - tan (x)
$$- x + \frac{\tan{\left(x \right)}}{1 - \tan^{2}{\left(x \right)}}$$
$$- x + \frac{\tan{\left(2 x \right)}}{2}$$
2
sin (2*x)
-x + ---------
sin(4*x)
$$- x + \frac{\sin^{2}{\left(2 x \right)}}{\sin{\left(4 x \right)}}$$
1
---------- - x
2*cot(2*x)
$$- x + \frac{1}{2 \cot{\left(2 x \right)}}$$
cot(x)
-x + ------------
2
-1 + cot (x)
$$- x + \frac{\cot{\left(x \right)}}{\cot^{2}{\left(x \right)} - 1}$$
/ pi\
cos|2*x - --|
\ 2 /
-x + -------------
2*cos(2*x)
$$- x + \frac{\cos{\left(2 x - \frac{\pi}{2} \right)}}{2 \cos{\left(2 x \right)}}$$
sec(2*x)
-x + ----------
2*csc(2*x)
$$- x + \frac{\sec{\left(2 x \right)}}{2 \csc{\left(2 x \right)}}$$
-x + sec(2*x)/(2*csc(2*x))