Parte trigonométrica
[src]
1 1
-------------------------- - ---------------------------
(1 + 2*a)*csc(x*(1/2 + a)) (1 - 2*a)*csc(x*(-1/2 + a))
(2a+1)csc(x(a+21))1−(1−2a)csc(x(a−21))1
/ pi \ / pi \
cos|- -- + x*(1/2 - a)| cos|- -- + x*(1/2 + a)|
\ 2 / \ 2 /
----------------------- + -----------------------
1 - 2*a 1 + 2*a
2a+1cos(x(a+21)−2π)+1−2acos(x(21−a)−2π)
sin(x*(1/2 + a)) sin(x*(-1/2 + a))
---------------- - -----------------
1 + 2*a 1 - 2*a
2a+1sin(x(a+21))−1−2asin(x(a−21))
1 1
-------------------------- + --------------------------
(1 - 2*a)*csc(x*(1/2 - a)) (1 + 2*a)*csc(x*(1/2 + a))
(2a+1)csc(x(a+21))1+(1−2a)csc(x(21−a))1
/ pi \ / pi \
cos|- -- + x*(1/2 + a)| cos|- -- + x*(-1/2 + a)|
\ 2 / \ 2 /
----------------------- - ------------------------
1 + 2*a 1 - 2*a
2a+1cos(x(a+21)−2π)−1−2acos(x(a−21)−2π)
/x*(1/2 + a)\ /x*(1/2 - a)\
2*cot|-----------| 2*cot|-----------|
\ 2 / \ 2 /
--------------------------------- + ---------------------------------
/ 2/x*(1/2 + a)\\ / 2/x*(1/2 - a)\\
|1 + cot |-----------||*(1 + 2*a) |1 + cot |-----------||*(1 - 2*a)
\ \ 2 // \ \ 2 //
(2a+1)(cot2(2x(a+21))+1)2cot(2x(a+21))+(1−2a)(cot2(2x(21−a))+1)2cot(2x(21−a))
/x*(-1/2 + a)\ /x*(1/2 + a)\
2*tan|------------| 2*tan|-----------|
\ 2 / \ 2 /
- ---------------------------------- + ---------------------------------
/ 2/x*(-1/2 + a)\\ / 2/x*(1/2 + a)\\
|1 + tan |------------||*(1 - 2*a) |1 + tan |-----------||*(1 + 2*a)
\ \ 2 // \ \ 2 //
(2a+1)(tan2(2x(a+21))+1)2tan(2x(a+21))−(1−2a)(tan2(2x(a−21))+1)2tan(2x(a−21))
1 1
--------------------------------- + ---------------------------------
/ pi \ / pi \
(1 - 2*a)*sec|- -- + x*(1/2 - a)| (1 + 2*a)*sec|- -- + x*(1/2 + a)|
\ 2 / \ 2 /
(2a+1)sec(x(a+21)−2π)1+(1−2a)sec(x(21−a)−2π)1
1 1
-----------*sin((1/2 - a)*x) + -----------*sin((a + 1/2)*x)
2*(1/2 - a) 2*(a + 1/2)
2(21−a)1sin(x(21−a))+2(a+21)1sin(x(a+21))
/x*(-1/2 + a)\ /x*(1/2 + a)\
2*cot|------------| 2*cot|-----------|
\ 2 / \ 2 /
- ---------------------------------- + ---------------------------------
/ 2/x*(-1/2 + a)\\ / 2/x*(1/2 + a)\\
|1 + cot |------------||*(1 - 2*a) |1 + cot |-----------||*(1 + 2*a)
\ \ 2 // \ \ 2 //
(2a+1)(cot2(2x(a+21))+1)2cot(2x(a+21))−(1−2a)(cot2(2x(a−21))+1)2cot(2x(a−21))
sin(x*(1/2 - a)) sin(x*(1/2 + a))
---------------- + ----------------
1 - 2*a 1 + 2*a
2a+1sin(x(a+21))+1−2asin(x(21−a))
1 1
--------------------------------- - ----------------------------------
/ pi \ / pi \
(1 + 2*a)*sec|- -- + x*(1/2 + a)| (1 - 2*a)*sec|- -- + x*(-1/2 + a)|
\ 2 / \ 2 /
(2a+1)sec(x(a+21)−2π)1−(1−2a)sec(x(a−21)−2π)1
/x*(1/2 + a)\ /x*(1/2 - a)\
2*tan|-----------| 2*tan|-----------|
\ 2 / \ 2 /
--------------------------------- + ---------------------------------
/ 2/x*(1/2 + a)\\ / 2/x*(1/2 - a)\\
|1 + tan |-----------||*(1 + 2*a) |1 + tan |-----------||*(1 - 2*a)
\ \ 2 // \ \ 2 //
(2a+1)(tan2(2x(a+21))+1)2tan(2x(a+21))+(1−2a)(tan2(2x(21−a))+1)2tan(2x(21−a))
2*tan(x*(1/2 + a)/2)/((1 + tan(x*(1/2 + a)/2)^2)*(1 + 2*a)) + 2*tan(x*(1/2 - a)/2)/((1 + tan(x*(1/2 - a)/2)^2)*(1 - 2*a))