__________
-1 + \/ cos(9*x)
----------------- + cot(4*x)*tan(4*x)
__________
-1 + \/ sin(9*x)
tan ( 4 x ) cot ( 4 x ) + cos ( 9 x ) − 1 sin ( 9 x ) − 1 \tan{\left(4 x \right)} \cot{\left(4 x \right)} + \frac{\sqrt{\cos{\left(9 x \right)}} - 1}{\sqrt{\sin{\left(9 x \right)}} - 1} tan ( 4 x ) cot ( 4 x ) + sin ( 9 x ) − 1 cos ( 9 x ) − 1
__________________
/ -9*I*x 9*I*x
/ e e
1 - / ------- + ------ / 4*I*x -4*I*x\
\/ 2 2 I*\- e + e /*cot(4*x)
- --------------------------------------- + -------------------------------
_________________________ -4*I*x 4*I*x
___ / / -9*I*x 9*I*x\ e + e
\/ 2 *\/ -I*\- e + e /
-1 + ----------------------------------
2
− 1 − e 9 i x 2 + e − 9 i x 2 2 − i ( e 9 i x − e − 9 i x ) 2 − 1 + i ( − e 4 i x + e − 4 i x ) cot ( 4 x ) e 4 i x + e − 4 i x - \frac{1 - \sqrt{\frac{e^{9 i x}}{2} + \frac{e^{- 9 i x}}{2}}}{\frac{\sqrt{2} \sqrt{- i \left(e^{9 i x} - e^{- 9 i x}\right)}}{2} - 1} + \frac{i \left(- e^{4 i x} + e^{- 4 i x}\right) \cot{\left(4 x \right)}}{e^{4 i x} + e^{- 4 i x}} − 2 2 − i ( e 9 i x − e − 9 i x ) − 1 1 − 2 e 9 i x + 2 e − 9 i x + e 4 i x + e − 4 i x i ( − e 4 i x + e − 4 i x ) cot ( 4 x )
-(1 - sqrt(exp(-9*i*x)/2 + exp(9*i*x)/2))/(-1 + sqrt(2)*sqrt(-i*(-exp(-9*i*x) + exp(9*i*x)))/2) + i*(-exp(4*i*x) + exp(-4*i*x))*cot(4*x)/(exp(-4*i*x) + exp(4*i*x))
Parte trigonométrica
[src]
________________
/ 2/9*x\
/ -1 + cot |---|
/ \ 2 /
1 - / --------------
/ 2/9*x\
/ 1 + cot |---|
\/ \ 2 /
1 - ----------------------------------
_______________
/ /9*x\
/ cot|---|
___ / \ 2 /
-1 + \/ 2 * / -------------
/ 2/9*x\
/ 1 + cot |---|
\/ \ 2 /
− 1 − cot 2 ( 9 x 2 ) − 1 cot 2 ( 9 x 2 ) + 1 2 cot ( 9 x 2 ) cot 2 ( 9 x 2 ) + 1 − 1 + 1 - \frac{1 - \sqrt{\frac{\cot^{2}{\left(\frac{9 x}{2} \right)} - 1}{\cot^{2}{\left(\frac{9 x}{2} \right)} + 1}}}{\sqrt{2} \sqrt{\frac{\cot{\left(\frac{9 x}{2} \right)}}{\cot^{2}{\left(\frac{9 x}{2} \right)} + 1}} - 1} + 1 − 2 c o t 2 ( 2 9 x ) + 1 c o t ( 2 9 x ) − 1 1 − c o t 2 ( 2 9 x ) + 1 c o t 2 ( 2 9 x ) − 1 + 1
_______________
/ 2/9*x\
/ 1 - tan |---|
/ \ 2 /
1 - / -------------
/ 2/9*x\
/ 1 + tan |---|
\/ \ 2 /
1 - ----------------------------------
_______________
/ /9*x\
/ tan|---|
___ / \ 2 /
-1 + \/ 2 * / -------------
/ 2/9*x\
/ 1 + tan |---|
\/ \ 2 /
− 1 − 1 − tan 2 ( 9 x 2 ) tan 2 ( 9 x 2 ) + 1 2 tan ( 9 x 2 ) tan 2 ( 9 x 2 ) + 1 − 1 + 1 - \frac{1 - \sqrt{\frac{1 - \tan^{2}{\left(\frac{9 x}{2} \right)}}{\tan^{2}{\left(\frac{9 x}{2} \right)} + 1}}}{\sqrt{2} \sqrt{\frac{\tan{\left(\frac{9 x}{2} \right)}}{\tan^{2}{\left(\frac{9 x}{2} \right)} + 1}} - 1} + 1 − 2 t a n 2 ( 2 9 x ) + 1 t a n ( 2 9 x ) − 1 1 − t a n 2 ( 2 9 x ) + 1 1 − t a n 2 ( 2 9 x ) + 1
__________
1 - \/ cos(9*x)
1 - -----------------
__________
-1 + \/ sin(9*x)
− 1 − cos ( 9 x ) sin ( 9 x ) − 1 + 1 - \frac{1 - \sqrt{\cos{\left(9 x \right)}}}{\sqrt{\sin{\left(9 x \right)}} - 1} + 1 − sin ( 9 x ) − 1 1 − cos ( 9 x ) + 1
_______________
/ 1
1 - / -------------
/ /pi \
/ csc|-- - 9*x|
\/ \2 /
1 - -------------------------
__________
/ 1
-1 + / --------
\/ csc(9*x)
− 1 − 1 csc ( − 9 x + π 2 ) 1 csc ( 9 x ) − 1 + 1 - \frac{1 - \sqrt{\frac{1}{\csc{\left(- 9 x + \frac{\pi}{2} \right)}}}}{\sqrt{\frac{1}{\csc{\left(9 x \right)}}} - 1} + 1 − c s c ( 9 x ) 1 − 1 1 − c s c ( − 9 x + 2 π ) 1 + 1
__________
/ 1
1 - / --------
\/ sec(9*x)
1 - --------------------------
_______________
/ 1
-1 + / -------------
/ / pi\
/ sec|9*x - --|
\/ \ 2 /
− 1 − 1 sec ( 9 x ) 1 sec ( 9 x − π 2 ) − 1 + 1 - \frac{1 - \sqrt{\frac{1}{\sec{\left(9 x \right)}}}}{\sqrt{\frac{1}{\sec{\left(9 x - \frac{\pi}{2} \right)}}} - 1} + 1 − s e c ( 9 x − 2 π ) 1 − 1 1 − s e c ( 9 x ) 1 + 1
__________
1 - \/ cos(9*x)
1 - ------------------------
_______________
/ / pi\
-1 + / cos|9*x - --|
\/ \ 2 /
− 1 − cos ( 9 x ) cos ( 9 x − π 2 ) − 1 + 1 - \frac{1 - \sqrt{\cos{\left(9 x \right)}}}{\sqrt{\cos{\left(9 x - \frac{\pi}{2} \right)}} - 1} + 1 − cos ( 9 x − 2 π ) − 1 1 − cos ( 9 x ) + 1
_______________
/ /pi \
1 - / sin|-- + 9*x|
\/ \2 /
1 - -----------------------
__________
-1 + \/ sin(9*x)
− 1 − sin ( 9 x + π 2 ) sin ( 9 x ) − 1 + 1 - \frac{1 - \sqrt{\sin{\left(9 x + \frac{\pi}{2} \right)}}}{\sqrt{\sin{\left(9 x \right)}} - 1} + 1 − sin ( 9 x ) − 1 1 − sin ( 9 x + 2 π ) + 1
__________
1 - \/ cos(9*x)
1 - ----------------
__________
\/ sin(9*x) - 1
− 1 − cos ( 9 x ) sin ( 9 x ) − 1 + 1 - \frac{1 - \sqrt{\cos{\left(9 x \right)}}}{\sqrt{\sin{\left(9 x \right)}} - 1} + 1 − sin ( 9 x ) − 1 1 − cos ( 9 x ) + 1
__________
/ 1
1 - / --------
\/ sec(9*x)
1 - -------------------
__________
/ 1
-1 + / --------
\/ csc(9*x)
− 1 − 1 sec ( 9 x ) 1 csc ( 9 x ) − 1 + 1 - \frac{1 - \sqrt{\frac{1}{\sec{\left(9 x \right)}}}}{\sqrt{\frac{1}{\csc{\left(9 x \right)}}} - 1} + 1 − c s c ( 9 x ) 1 − 1 1 − s e c ( 9 x ) 1 + 1
1 - (1 - sqrt(1/sec(9*x)))/(-1 + sqrt(1/csc(9*x)))