Sr Examen
Simplificación de expresiones/
Descomposición en fracciones simples/
cos(x)*log(atan(sqrt(sin(x))))/((1+sin(x))*atan(sqrt(sin(x)))*sqrt(sin(x)))
¿Cómo vas a descomponer esta cos(x)*log(atan(sqrt(sin(x))))/((1+sin(x))*atan(sqrt(sin(x)))*sqrt(sin(x))) expresión en fracciones?
Solución
Ha introducido
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/ / ________\\
cos(x)*log\atan\\/ sin(x) //
----------------------------------------
/ ________\ ________
(1 + sin(x))*atan\\/ sin(x) /*\/ sin(x)
$$\frac{\log{\left(\operatorname{atan}{\left(\sqrt{\sin{\left(x \right)}} \right)} \right)} \cos{\left(x \right)}}{\left(\sin{\left(x \right)} + 1\right) \operatorname{atan}{\left(\sqrt{\sin{\left(x \right)}} \right)} \sqrt{\sin{\left(x \right)}}}$$
(cos(x)*log(atan(sqrt(sin(x)))))/((((1 + sin(x))*atan(sqrt(sin(x))))*sqrt(sin(x))))
Simplificación general
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/ / ________\\
cos(x)*log\atan\\/ sin(x) //
----------------------------------------
/ ________\ ________
(1 + sin(x))*atan\\/ sin(x) /*\/ sin(x)
$$\frac{\log{\left(\operatorname{atan}{\left(\sqrt{\sin{\left(x \right)}} \right)} \right)} \cos{\left(x \right)}}{\left(\sin{\left(x \right)} + 1\right) \sqrt{\sin{\left(x \right)}} \operatorname{atan}{\left(\sqrt{\sin{\left(x \right)}} \right)}}$$
cos(x)*log(atan(sqrt(sin(x))))/((1 + sin(x))*atan(sqrt(sin(x)))*sqrt(sin(x)))
Respuesta numérica
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sin(x)^(-0.5)*cos(x)*log(atan(sqrt(sin(x))))/((1.0 + sin(x))*atan(sqrt(sin(x))))
sin(x)^(-0.5)*cos(x)*log(atan(sqrt(sin(x))))/((1.0 + sin(x))*atan(sqrt(sin(x))))
Unión de expresiones racionales
[src]
/ / ________\\
cos(x)*log\atan\\/ sin(x) //
----------------------------------------
/ ________\ ________
(1 + sin(x))*atan\\/ sin(x) /*\/ sin(x)
$$\frac{\log{\left(\operatorname{atan}{\left(\sqrt{\sin{\left(x \right)}} \right)} \right)} \cos{\left(x \right)}}{\left(\sin{\left(x \right)} + 1\right) \sqrt{\sin{\left(x \right)}} \operatorname{atan}{\left(\sqrt{\sin{\left(x \right)}} \right)}}$$
cos(x)*log(atan(sqrt(sin(x))))/((1 + sin(x))*atan(sqrt(sin(x)))*sqrt(sin(x)))
Denominador común
[src]
/ / ________\\
cos(x)*log\atan\\/ sin(x) //
--------------------------------------------------------
________ / ________\ 3/2 / ________\
\/ sin(x) *atan\\/ sin(x) / + sin (x)*atan\\/ sin(x) /
$$\frac{\log{\left(\operatorname{atan}{\left(\sqrt{\sin{\left(x \right)}} \right)} \right)} \cos{\left(x \right)}}{\sin^{\frac{3}{2}}{\left(x \right)} \operatorname{atan}{\left(\sqrt{\sin{\left(x \right)}} \right)} + \sqrt{\sin{\left(x \right)}} \operatorname{atan}{\left(\sqrt{\sin{\left(x \right)}} \right)}}$$
cos(x)*log(atan(sqrt(sin(x))))/(sqrt(sin(x))*atan(sqrt(sin(x))) + sin(x)^(3/2)*atan(sqrt(sin(x))))
Potencias
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/ / _____________________\\
/ I*x -I*x\ | | ___ / / -I*x I*x\ ||
___ |e e | | |\/ 2 *\/ -I*\- e + e / ||
\/ 2 *|---- + -----|*log|atan|------------------------------||
\ 2 2 / \ \ 2 //
--------------------------------------------------------------------------------------
/ _____________________\
_____________________ / / -I*x I*x\\ | ___ / / -I*x I*x\ |
/ / -I*x I*x\ | I*\- e + e /| |\/ 2 *\/ -I*\- e + e / |
\/ -I*\- e + e / *|1 - ------------------|*atan|------------------------------|
\ 2 / \ 2 /
$$\frac{\sqrt{2} \left(\frac{e^{i x}}{2} + \frac{e^{- i x}}{2}\right) \log{\left(\operatorname{atan}{\left(\frac{\sqrt{2} \sqrt{- i \left(e^{i x} - e^{- i x}\right)}}{2} \right)} \right)}}{\sqrt{- i \left(e^{i x} - e^{- i x}\right)} \left(- \frac{i \left(e^{i x} - e^{- i x}\right)}{2} + 1\right) \operatorname{atan}{\left(\frac{\sqrt{2} \sqrt{- i \left(e^{i x} - e^{- i x}\right)}}{2} \right)}}$$
/ / ________\\
cos(x)*log\atan\\/ sin(x) //
----------------------------------------
/ ________\ ________
(1 + sin(x))*atan\\/ sin(x) /*\/ sin(x)
$$\frac{\log{\left(\operatorname{atan}{\left(\sqrt{\sin{\left(x \right)}} \right)} \right)} \cos{\left(x \right)}}{\left(\sin{\left(x \right)} + 1\right) \sqrt{\sin{\left(x \right)}} \operatorname{atan}{\left(\sqrt{\sin{\left(x \right)}} \right)}}$$
cos(x)*log(atan(sqrt(sin(x))))/((1 + sin(x))*atan(sqrt(sin(x)))*sqrt(sin(x)))
Denominador racional
[src]
________ / / ________\\
\/ sin(x) *cos(x)*log\atan\\/ sin(x) //
---------------------------------------
/ ________\
(1 + sin(x))*atan\\/ sin(x) /*sin(x)
$$\frac{\log{\left(\operatorname{atan}{\left(\sqrt{\sin{\left(x \right)}} \right)} \right)} \sqrt{\sin{\left(x \right)}} \cos{\left(x \right)}}{\left(\sin{\left(x \right)} + 1\right) \sin{\left(x \right)} \operatorname{atan}{\left(\sqrt{\sin{\left(x \right)}} \right)}}$$
sqrt(sin(x))*cos(x)*log(atan(sqrt(sin(x))))/((1 + sin(x))*atan(sqrt(sin(x)))*sin(x))
Compilar la expresión
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/ / ________\\
cos(x)*log\atan\\/ sin(x) //
----------------------------------------
/ ________\ ________
(1 + sin(x))*atan\\/ sin(x) /*\/ sin(x)
$$\frac{\log{\left(\operatorname{atan}{\left(\sqrt{\sin{\left(x \right)}} \right)} \right)} \cos{\left(x \right)}}{\left(\sin{\left(x \right)} + 1\right) \sqrt{\sin{\left(x \right)}} \operatorname{atan}{\left(\sqrt{\sin{\left(x \right)}} \right)}}$$
cos(x)*log(atan(sqrt(sin(x))))/((1 + sin(x))*atan(sqrt(sin(x)))*sqrt(sin(x)))
Parte trigonométrica
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/ / _____________\\
| | / /x\ ||
| | / tan|-| ||
___ / 2/x\\ | | ___ / \2/ ||
\/ 2 *|1 - tan |-||*log|atan|\/ 2 * / ----------- ||
\ \2// | | / 2/x\ ||
| | / 1 + tan |-| ||
\ \ \/ \2/ //
-----------------------------------------------------------------------------------------
_____________ / _____________\
/ /x\ / /x\ \ | / /x\ |
/ tan|-| | 2*tan|-| | | / tan|-| |
/ \2/ / 2/x\\ | \2/ | | ___ / \2/ |
2* / ----------- *|1 + tan |-||*|1 + -----------|*atan|\/ 2 * / ----------- |
/ 2/x\ \ \2// | 2/x\| | / 2/x\ |
/ 1 + tan |-| | 1 + tan |-|| | / 1 + tan |-| |
\/ \2/ \ \2// \ \/ \2/ /
$$\frac{\sqrt{2} \left(1 - \tan^{2}{\left(\frac{x}{2} \right)}\right) \log{\left(\operatorname{atan}{\left(\sqrt{2} \sqrt{\frac{\tan{\left(\frac{x}{2} \right)}}{\tan^{2}{\left(\frac{x}{2} \right)} + 1}} \right)} \right)}}{2 \sqrt{\frac{\tan{\left(\frac{x}{2} \right)}}{\tan^{2}{\left(\frac{x}{2} \right)} + 1}} \left(1 + \frac{2 \tan{\left(\frac{x}{2} \right)}}{\tan^{2}{\left(\frac{x}{2} \right)} + 1}\right) \left(\tan^{2}{\left(\frac{x}{2} \right)} + 1\right) \operatorname{atan}{\left(\sqrt{2} \sqrt{\frac{\tan{\left(\frac{x}{2} \right)}}{\tan^{2}{\left(\frac{x}{2} \right)} + 1}} \right)}}$$
/ / ________\\
| | / 1 ||
log|atan| / ------ ||
\ \\/ csc(x) //
---------------------------------------------------
________ / ________\
/ 1 / 1 \ | / 1 |
/ ------ *|1 + ------|*atan| / ------ |*sec(x)
\/ csc(x) \ csc(x)/ \\/ csc(x) /
$$\frac{\log{\left(\operatorname{atan}{\left(\sqrt{\frac{1}{\csc{\left(x \right)}}} \right)} \right)}}{\left(1 + \frac{1}{\csc{\left(x \right)}}\right) \sqrt{\frac{1}{\csc{\left(x \right)}}} \operatorname{atan}{\left(\sqrt{\frac{1}{\csc{\left(x \right)}}} \right)} \sec{\left(x \right)}}$$
/ / _____________\\
/ 1 1 \ | | / 1 ||
|------- - ------------|*log|atan| / ----------- ||
| 2/x\ 2/x pi\| | | / / pi\ ||
|sec |-| sec |- - --|| | | / sec|x - --| ||
\ \2/ \2 2 // \ \\/ \ 2 / //
---------------------------------------------------------------
_____________ / _____________\
/ 1 / 1 \ | / 1 |
/ ----------- *|1 + -----------|*atan| / ----------- |
/ / pi\ | / pi\| | / / pi\ |
/ sec|x - --| | sec|x - --|| | / sec|x - --| |
\/ \ 2 / \ \ 2 // \\/ \ 2 / /
$$\frac{\left(- \frac{1}{\sec^{2}{\left(\frac{x}{2} - \frac{\pi}{2} \right)}} + \frac{1}{\sec^{2}{\left(\frac{x}{2} \right)}}\right) \log{\left(\operatorname{atan}{\left(\sqrt{\frac{1}{\sec{\left(x - \frac{\pi}{2} \right)}}} \right)} \right)}}{\left(1 + \frac{1}{\sec{\left(x - \frac{\pi}{2} \right)}}\right) \sqrt{\frac{1}{\sec{\left(x - \frac{\pi}{2} \right)}}} \operatorname{atan}{\left(\sqrt{\frac{1}{\sec{\left(x - \frac{\pi}{2} \right)}}} \right)}}$$
/ 2/x\ 2/x\\ / / ________\\
|cos |-| - sin |-||*log\atan\\/ sin(x) //
\ \2/ \2//
-----------------------------------------
/ ________\ ________
(1 + sin(x))*atan\\/ sin(x) /*\/ sin(x)
$$\frac{\left(- \sin^{2}{\left(\frac{x}{2} \right)} + \cos^{2}{\left(\frac{x}{2} \right)}\right) \log{\left(\operatorname{atan}{\left(\sqrt{\sin{\left(x \right)}} \right)} \right)}}{\left(\sin{\left(x \right)} + 1\right) \sqrt{\sin{\left(x \right)}} \operatorname{atan}{\left(\sqrt{\sin{\left(x \right)}} \right)}}$$
/ / ________\\
/ 1 1 \ | | / 1 ||
|------------ - -------|*log|atan| / ------ ||
| 2/pi x\ 2/x\| \ \\/ csc(x) //
|csc |-- - -| csc |-||
\ \2 2/ \2//
------------------------------------------------
________ / ________\
/ 1 / 1 \ | / 1 |
/ ------ *|1 + ------|*atan| / ------ |
\/ csc(x) \ csc(x)/ \\/ csc(x) /
$$\frac{\left(\frac{1}{\csc^{2}{\left(- \frac{x}{2} + \frac{\pi}{2} \right)}} - \frac{1}{\csc^{2}{\left(\frac{x}{2} \right)}}\right) \log{\left(\operatorname{atan}{\left(\sqrt{\frac{1}{\csc{\left(x \right)}}} \right)} \right)}}{\left(1 + \frac{1}{\csc{\left(x \right)}}\right) \sqrt{\frac{1}{\csc{\left(x \right)}}} \operatorname{atan}{\left(\sqrt{\frac{1}{\csc{\left(x \right)}}} \right)}}$$
/ 2 \ / / _____________\\
|/ 2/x\\ 2/x\ | | | / /x\ ||
||1 - tan |-|| 4*tan |-| | | | / tan|-| ||
___ |\ \4// \4/ | | | ___ / \2/ ||
\/ 2 *|-------------- - --------------|*log|atan|\/ 2 * / ----------- ||
| 2 2| | | / 2/x\ ||
|/ 2/x\\ / 2/x\\ | | | / 1 + tan |-| ||
||1 + tan |-|| |1 + tan |-|| | \ \ \/ \2/ //
\\ \4// \ \4// /
------------------------------------------------------------------------------
_____________ / _____________\
/ /x\ / /x\ \ | / /x\ |
/ tan|-| | 2*tan|-| | | / tan|-| |
/ \2/ | \2/ | | ___ / \2/ |
2* / ----------- *|1 + -----------|*atan|\/ 2 * / ----------- |
/ 2/x\ | 2/x\| | / 2/x\ |
/ 1 + tan |-| | 1 + tan |-|| | / 1 + tan |-| |
\/ \2/ \ \2// \ \/ \2/ /
$$\frac{\sqrt{2} \left(\frac{\left(1 - \tan^{2}{\left(\frac{x}{4} \right)}\right)^{2}}{\left(\tan^{2}{\left(\frac{x}{4} \right)} + 1\right)^{2}} - \frac{4 \tan^{2}{\left(\frac{x}{4} \right)}}{\left(\tan^{2}{\left(\frac{x}{4} \right)} + 1\right)^{2}}\right) \log{\left(\operatorname{atan}{\left(\sqrt{2} \sqrt{\frac{\tan{\left(\frac{x}{2} \right)}}{\tan^{2}{\left(\frac{x}{2} \right)} + 1}} \right)} \right)}}{2 \sqrt{\frac{\tan{\left(\frac{x}{2} \right)}}{\tan^{2}{\left(\frac{x}{2} \right)} + 1}} \left(1 + \frac{2 \tan{\left(\frac{x}{2} \right)}}{\tan^{2}{\left(\frac{x}{2} \right)} + 1}\right) \operatorname{atan}{\left(\sqrt{2} \sqrt{\frac{\tan{\left(\frac{x}{2} \right)}}{\tan^{2}{\left(\frac{x}{2} \right)} + 1}} \right)}}$$
/ / _____________\\
| | / /x\ ||
| | / cot|-| ||
___ / 2/x\\ | | ___ / \2/ ||
\/ 2 *|-1 + cot |-||*log|atan|\/ 2 * / ----------- ||
\ \2// | | / 2/x\ ||
| | / 1 + cot |-| ||
\ \ \/ \2/ //
-----------------------------------------------------------------------------------------
_____________ / _____________\
/ /x\ / /x\ \ | / /x\ |
/ cot|-| | 2*cot|-| | | / cot|-| |
/ \2/ / 2/x\\ | \2/ | | ___ / \2/ |
2* / ----------- *|1 + cot |-||*|1 + -----------|*atan|\/ 2 * / ----------- |
/ 2/x\ \ \2// | 2/x\| | / 2/x\ |
/ 1 + cot |-| | 1 + cot |-|| | / 1 + cot |-| |
\/ \2/ \ \2// \ \/ \2/ /
$$\frac{\sqrt{2} \left(\cot^{2}{\left(\frac{x}{2} \right)} - 1\right) \log{\left(\operatorname{atan}{\left(\sqrt{2} \sqrt{\frac{\cot{\left(\frac{x}{2} \right)}}{\cot^{2}{\left(\frac{x}{2} \right)} + 1}} \right)} \right)}}{2 \sqrt{\frac{\cot{\left(\frac{x}{2} \right)}}{\cot^{2}{\left(\frac{x}{2} \right)} + 1}} \left(1 + \frac{2 \cot{\left(\frac{x}{2} \right)}}{\cot^{2}{\left(\frac{x}{2} \right)} + 1}\right) \left(\cot^{2}{\left(\frac{x}{2} \right)} + 1\right) \operatorname{atan}{\left(\sqrt{2} \sqrt{\frac{\cot{\left(\frac{x}{2} \right)}}{\cot^{2}{\left(\frac{x}{2} \right)} + 1}} \right)}}$$
/ 2/pi x\ 2/x\\ / / ________\\
|sin |-- + -| - sin |-||*log\atan\\/ sin(x) //
\ \2 2/ \2//
----------------------------------------------
/ ________\ ________
(1 + sin(x))*atan\\/ sin(x) /*\/ sin(x)
$$\frac{\left(- \sin^{2}{\left(\frac{x}{2} \right)} + \sin^{2}{\left(\frac{x}{2} + \frac{\pi}{2} \right)}\right) \log{\left(\operatorname{atan}{\left(\sqrt{\sin{\left(x \right)}} \right)} \right)}}{\left(\sin{\left(x \right)} + 1\right) \sqrt{\sin{\left(x \right)}} \operatorname{atan}{\left(\sqrt{\sin{\left(x \right)}} \right)}}$$
/ 2 \ / / _____________\\
|/ 2/x\\ 2/x\ | | | / /x\ ||
||-1 + cot |-|| 4*cot |-| | | | / cot|-| ||
___ |\ \4// \4/ | | | ___ / \2/ ||
\/ 2 *|--------------- - --------------|*log|atan|\/ 2 * / ----------- ||
| 2 2| | | / 2/x\ ||
| / 2/x\\ / 2/x\\ | | | / 1 + cot |-| ||
| |1 + cot |-|| |1 + cot |-|| | \ \ \/ \2/ //
\ \ \4// \ \4// /
-------------------------------------------------------------------------------
_____________ / _____________\
/ /x\ / /x\ \ | / /x\ |
/ cot|-| | 2*cot|-| | | / cot|-| |
/ \2/ | \2/ | | ___ / \2/ |
2* / ----------- *|1 + -----------|*atan|\/ 2 * / ----------- |
/ 2/x\ | 2/x\| | / 2/x\ |
/ 1 + cot |-| | 1 + cot |-|| | / 1 + cot |-| |
\/ \2/ \ \2// \ \/ \2/ /
$$\frac{\sqrt{2} \left(\frac{\left(\cot^{2}{\left(\frac{x}{4} \right)} - 1\right)^{2}}{\left(\cot^{2}{\left(\frac{x}{4} \right)} + 1\right)^{2}} - \frac{4 \cot^{2}{\left(\frac{x}{4} \right)}}{\left(\cot^{2}{\left(\frac{x}{4} \right)} + 1\right)^{2}}\right) \log{\left(\operatorname{atan}{\left(\sqrt{2} \sqrt{\frac{\cot{\left(\frac{x}{2} \right)}}{\cot^{2}{\left(\frac{x}{2} \right)} + 1}} \right)} \right)}}{2 \sqrt{\frac{\cot{\left(\frac{x}{2} \right)}}{\cot^{2}{\left(\frac{x}{2} \right)} + 1}} \left(1 + \frac{2 \cot{\left(\frac{x}{2} \right)}}{\cot^{2}{\left(\frac{x}{2} \right)} + 1}\right) \operatorname{atan}{\left(\sqrt{2} \sqrt{\frac{\cot{\left(\frac{x}{2} \right)}}{\cot^{2}{\left(\frac{x}{2} \right)} + 1}} \right)}}$$
/ / _____________\\
| | / / pi\ ||
cos(x)*log|atan| / cos|x - --| ||
\ \\/ \ 2 / //
-----------------------------------------------------------
/ _____________\ _____________
/ / pi\\ | / / pi\ | / / pi\
|1 + cos|x - --||*atan| / cos|x - --| |* / cos|x - --|
\ \ 2 // \\/ \ 2 / / \/ \ 2 /
$$\frac{\log{\left(\operatorname{atan}{\left(\sqrt{\cos{\left(x - \frac{\pi}{2} \right)}} \right)} \right)} \cos{\left(x \right)}}{\left(\cos{\left(x - \frac{\pi}{2} \right)} + 1\right) \sqrt{\cos{\left(x - \frac{\pi}{2} \right)}} \operatorname{atan}{\left(\sqrt{\cos{\left(x - \frac{\pi}{2} \right)}} \right)}}$$
/ / _____________\\
/ 2/x\ 2/x pi\\ | | / / pi\ ||
|cos |-| - cos |- - --||*log|atan| / cos|x - --| ||
\ \2/ \2 2 // \ \\/ \ 2 / //
-----------------------------------------------------------
/ _____________\ _____________
/ / pi\\ | / / pi\ | / / pi\
|1 + cos|x - --||*atan| / cos|x - --| |* / cos|x - --|
\ \ 2 // \\/ \ 2 / / \/ \ 2 /
$$\frac{\left(\cos^{2}{\left(\frac{x}{2} \right)} - \cos^{2}{\left(\frac{x}{2} - \frac{\pi}{2} \right)}\right) \log{\left(\operatorname{atan}{\left(\sqrt{\cos{\left(x - \frac{\pi}{2} \right)}} \right)} \right)}}{\left(\cos{\left(x - \frac{\pi}{2} \right)} + 1\right) \sqrt{\cos{\left(x - \frac{\pi}{2} \right)}} \operatorname{atan}{\left(\sqrt{\cos{\left(x - \frac{\pi}{2} \right)}} \right)}}$$
/ / _____________\\
| | / 1 ||
log|atan| / ----------- ||
| | / / pi\ ||
| | / sec|x - --| ||
\ \\/ \ 2 / //
----------------------------------------------------------------------
_____________ / _____________\
/ 1 / 1 \ | / 1 |
/ ----------- *|1 + -----------|*atan| / ----------- |*sec(x)
/ / pi\ | / pi\| | / / pi\ |
/ sec|x - --| | sec|x - --|| | / sec|x - --| |
\/ \ 2 / \ \ 2 // \\/ \ 2 / /
$$\frac{\log{\left(\operatorname{atan}{\left(\sqrt{\frac{1}{\sec{\left(x - \frac{\pi}{2} \right)}}} \right)} \right)}}{\left(1 + \frac{1}{\sec{\left(x - \frac{\pi}{2} \right)}}\right) \sqrt{\frac{1}{\sec{\left(x - \frac{\pi}{2} \right)}}} \operatorname{atan}{\left(\sqrt{\frac{1}{\sec{\left(x - \frac{\pi}{2} \right)}}} \right)} \sec{\left(x \right)}}$$
/ / ________\\
| | / 1 ||
log|atan| / ------ ||
\ \\/ csc(x) //
--------------------------------------------------------
________ / ________\
/ 1 / 1 \ | / 1 | /pi \
/ ------ *|1 + ------|*atan| / ------ |*csc|-- - x|
\/ csc(x) \ csc(x)/ \\/ csc(x) / \2 /
$$\frac{\log{\left(\operatorname{atan}{\left(\sqrt{\frac{1}{\csc{\left(x \right)}}} \right)} \right)}}{\left(1 + \frac{1}{\csc{\left(x \right)}}\right) \sqrt{\frac{1}{\csc{\left(x \right)}}} \operatorname{atan}{\left(\sqrt{\frac{1}{\csc{\left(x \right)}}} \right)} \csc{\left(- x + \frac{\pi}{2} \right)}}$$
/ / ________\\ / pi\
log\atan\\/ sin(x) //*sin|x + --|
\ 2 /
----------------------------------------
/ ________\ ________
(1 + sin(x))*atan\\/ sin(x) /*\/ sin(x)
$$\frac{\log{\left(\operatorname{atan}{\left(\sqrt{\sin{\left(x \right)}} \right)} \right)} \sin{\left(x + \frac{\pi}{2} \right)}}{\left(\sin{\left(x \right)} + 1\right) \sqrt{\sin{\left(x \right)}} \operatorname{atan}{\left(\sqrt{\sin{\left(x \right)}} \right)}}$$
/ / ________\\
cos(x)*log\atan\\/ sin(x) //
----------------------------------------
/ ________\ ________
(1 + sin(x))*atan\\/ sin(x) /*\/ sin(x)
$$\frac{\log{\left(\operatorname{atan}{\left(\sqrt{\sin{\left(x \right)}} \right)} \right)} \cos{\left(x \right)}}{\left(\sin{\left(x \right)} + 1\right) \sqrt{\sin{\left(x \right)}} \operatorname{atan}{\left(\sqrt{\sin{\left(x \right)}} \right)}}$$
cos(x)*log(atan(sqrt(sin(x))))/((1 + sin(x))*atan(sqrt(sin(x)))*sqrt(sin(x)))
Combinatoria
[src]
/ / ________\\
cos(x)*log\atan\\/ sin(x) //
----------------------------------------
/ ________\ ________
(1 + sin(x))*atan\\/ sin(x) /*\/ sin(x)
$$\frac{\log{\left(\operatorname{atan}{\left(\sqrt{\sin{\left(x \right)}} \right)} \right)} \cos{\left(x \right)}}{\left(\sin{\left(x \right)} + 1\right) \sqrt{\sin{\left(x \right)}} \operatorname{atan}{\left(\sqrt{\sin{\left(x \right)}} \right)}}$$
cos(x)*log(atan(sqrt(sin(x))))/((1 + sin(x))*atan(sqrt(sin(x)))*sqrt(sin(x)))