___________ / 3 \ / 1 - 2*t*t / 4\ | -2*t 2*t *(1 - 2*t*t)| / --------- *\1 - t /*|------ + ----------------| / 4 | 4 2 | \/ 1 - t |1 - t / 4\ | \ \1 - t / / ----------------------------------------------------- 1 - 2*t*t
((sqrt((1 - 2*t*t)/(1 - t^4))*(1 - t^4))*((-2*t)/(1 - t^4) + ((2*t^3)*(1 - 2*t*t))/(1 - t^4)^2))/(1 - 2*t*t)
___________ / 2 / -1 + 2*t / 4 2\ -2*t* / --------- *\1 + t - t / / 4 \/ -1 + t ------------------------------------ 4 2 6 1 - t - 2*t + 2*t
-2*t*sqrt((-1 + 2*t^2)/(-1 + t^4))*(1 + t^4 - t^2)/(1 - t^4 - 2*t^2 + 2*t^6)
((1.0 - 2.0*t^2)/(1.0 - t^4))^0.5*(1.0 - t^4)*(-2.0*t/(1.0 - t^4) + 2.0*t^3*(1.0 - 2.0*t^2)/(1.0 - t^4)^2)/(1.0 - 2.0*t^2)
((1.0 - 2.0*t^2)/(1.0 - t^4))^0.5*(1.0 - t^4)*(-2.0*t/(1.0 - t^4) + 2.0*t^3*(1.0 - 2.0*t^2)/(1.0 - t^4)^2)/(1.0 - 2.0*t^2)
_______________ / / 2\ / -\-1 + 2*t / / 4 2\ -2*t* / ------------- *\1 + t - t / / 4 \/ 1 - t ---------------------------------------- / 2\ / 2\ (1 + t)*\1 + t /*(-1 + t)*\-1 + 2*t /
-2*t*sqrt(-(-1 + 2*t^2)/(1 - t^4))*(1 + t^4 - t^2)/((1 + t)*(1 + t^2)*(-1 + t)*(-1 + 2*t^2))
/ _________________ _________________ _________________\ | / 2 / 2 / 2 | | 3 / 1 2*t / 1 2*t 5 / 1 2*t | -|- 2*t * / ------ - ------ + 2*t* / ------ - ------ + 2*t * / ------ - ------ | | / 4 4 / 4 4 / 4 4 | \ \/ 1 - t 1 - t \/ 1 - t 1 - t \/ 1 - t 1 - t / ----------------------------------------------------------------------------------------------- 4 2 6 1 - t - 2*t + 2*t
-(-2*t^3*sqrt(1/(1 - t^4) - 2*t^2/(1 - t^4)) + 2*t*sqrt(1/(1 - t^4) - 2*t^2/(1 - t^4)) + 2*t^5*sqrt(1/(1 - t^4) - 2*t^2/(1 - t^4)))/(1 - t^4 - 2*t^2 + 2*t^6)
__________ / 2 / 1 - 2*t / 4 2 / 2\\ 2*t* / -------- *\-1 + t + t *\1 - 2*t // / 4 \/ 1 - t ---------------------------------------------- / 4\ / 2\ \1 - t /*\1 - 2*t /
2*t*sqrt((1 - 2*t^2)/(1 - t^4))*(-1 + t^4 + t^2*(1 - 2*t^2))/((1 - t^4)*(1 - 2*t^2))
_____________________ _____________________ _____________________ _____________________ _____________________ / 2 / 2 / 2 / 2 2 / 2 9 / 1 2*t 3 / 1 2*t 7 / 1 2*t 5 / 1 2*t / 4\ / 1 2*t - 4*t * / - ------- + ------- - 2*t * / - ------- + ------- + 2*t * / - ------- + ------- + 4*t * / - ------- + ------- + 2*t*\-1 + t / * / - ------- + ------- / 4 4 / 4 4 / 4 4 / 4 4 / 4 4 \/ -1 + t -1 + t \/ -1 + t -1 + t \/ -1 + t -1 + t \/ -1 + t -1 + t \/ -1 + t -1 + t ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- 2 / 4\ / 2\ \-1 + t / *\-1 + 2*t /
(-4*t^9*sqrt(-1/(-1 + t^4) + 2*t^2/(-1 + t^4)) - 2*t^3*sqrt(-1/(-1 + t^4) + 2*t^2/(-1 + t^4)) + 2*t^7*sqrt(-1/(-1 + t^4) + 2*t^2/(-1 + t^4)) + 4*t^5*sqrt(-1/(-1 + t^4) + 2*t^2/(-1 + t^4)) + 2*t*(-1 + t^4)^2*sqrt(-1/(-1 + t^4) + 2*t^2/(-1 + t^4)))/((-1 + t^4)^2*(-1 + 2*t^2))
__________ / 2 / 3 / 2\\ / 1 - 2*t / 4\ | 2*t 2*t *\1 - 2*t /| / -------- *\1 - t /*|- ------ + ---------------| / 4 | 4 2 | \/ 1 - t | 1 - t / 4\ | \ \1 - t / / ------------------------------------------------------ 2 1 - 2*t
sqrt((1 - 2*t^2)/(1 - t^4))*(1 - t^4)*(-2*t/(1 - t^4) + 2*t^3*(1 - 2*t^2)/(1 - t^4)^2)/(1 - 2*t^2)
__________ / 2 / 3 / 2\\ / 1 - 2*t / 4\ | 2*t 2*t *\1 - 2*t /| / -------- *\1 - t /*|- ------ + ---------------| / 4 | 4 2 | \/ 1 - t | 1 - t / 4\ | \ \1 - t / / ------------------------------------------------------ 2 1 - 2*t
sqrt((1 - 2*t^2)/(1 - t^4))*(1 - t^4)*(-2*t/(1 - t^4) + 2*t^3*(1 - 2*t^2)/(1 - t^4)^2)/(1 - 2*t^2)
__________ / 2 / 3 / 2\\ / 1 - 2*t / 4\ | 2*t 2*t *\1 - 2*t /| / -------- *\1 - t /*|- ------ + ---------------| / 4 | 4 2 | \/ 1 - t | 1 - t / 4\ | \ \1 - t / / ------------------------------------------------------ 2 1 - 2*t
__________ / 2 / 3 / 2\\ / 1 - 2*t / 4\ | 2*t t *\2 - 4*t /| / -------- *\1 - t /*|- ------ + -------------| / 4 | 4 2 | \/ 1 - t | 1 - t / 4\ | \ \1 - t / / ---------------------------------------------------- 2 1 - 2*t
sqrt((1 - 2*t^2)/(1 - t^4))*(1 - t^4)*(-2*t/(1 - t^4) + t^3*(2 - 4*t^2)/(1 - t^4)^2)/(1 - 2*t^2)