/ 2*sin(x) 3/2 \ |---------- - 2 + 2| |1 + cos(x) | log|---------------------| | 3/2 2*sin(x) | |2 + 2 + ----------| \ 1 + cos(x)/ -------------------------- ___ \/ 2
/ ___ 2*sin(x) \ |2 - 2*\/ 2 + ----------| ___ | 1 + cos(x)| \/ 2 *log|------------------------| | ___ 2*sin(x) | |2 + 2*\/ 2 + ----------| \ 1 + cos(x)/ ----------------------------------- 2
0.707106781186547*log(((2*sin(x))/(1 + cos(x)) - 2^(3/2) + 2)/(2 + 2^(3/2) + (2*sin(x))/(1 + cos(x))))
/ / 3/2 / 3/2 2*sin(x) \ ___ / 3/2 ___ 2*sin(x) 2*cos(x)*sin(x)\ ___ 2*sin(x) 2*cos(x)*sin(x)\\ |2*|2 + 2 + 2*cos(x) + |2 + 2 + ----------|*sin(x) - \/ 2 *|2 + 2 + 2*cos(x) + 2*\/ 2 *cos(x) + ---------- + ---------------| + 2*\/ 2 *cos(x) + ---------- + ---------------|| ___ | \ \ 1 + cos(x)/ \ 1 + cos(x) 1 + cos(x) / 1 + cos(x) 1 + cos(x) /| \/ 2 *log|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| | / 3/2 2*sin(x) \ / 3/2 ___ 2*sin(x) 2*cos(x)*sin(x)\ | | |2 + 2 + ----------|*|2 + 2 + 2*cos(x) + 2*\/ 2 *cos(x) + ---------- + ---------------| | \ \ 1 + cos(x)/ \ 1 + cos(x) 1 + cos(x) / / ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- 2
/ ___ \ ___ |1 - \/ 2 *(1 + cos(x)) + cos(x) + sin(x)| \/ 2 *log|----------------------------------------| | / ___\ | \ \1 + \/ 2 /*(1 + cos(x)) + sin(x) / --------------------------------------------------- 2
/ ___ ___ / pi\ ___ \ |1 - \/ 2 + \/ 2 *sin|x + --| - \/ 2 *cos(x)| ___ | \ 4 / | \/ 2 *log|--------------------------------------------| | / ___\ | \ \1 + \/ 2 /*(1 + cos(x)) + sin(x) / ------------------------------------------------------- 2
/ 2*sin(x) 3/2 \ |---------- - 2 + 2| ___ |1 + cos(x) | \/ 2 *log|---------------------| | 3/2 2*sin(x) | |2 + 2 + ----------| \ 1 + cos(x)/ -------------------------------- 2
/ ___ / ___\ \ ___ |2 - 2*\/ 2 + 2*sin(x) + \2 - 2*\/ 2 /*cos(x)| \/ 2 *log|---------------------------------------------| | ___ / ___\ | \2 + 2*\/ 2 + 2*sin(x) + \2 + 2*\/ 2 /*cos(x)/ -------------------------------------------------------- 2
/ ___ \ ___ | 2 2*\/ 2 2*sin(x) | \/ 2 *log|------------------------ - ------------------------ + ----------------------------------------------------------------------| | ___ 2*sin(x) ___ 2*sin(x) ___ ___ 2*sin(x) 2*cos(x)*sin(x)| |2 + 2*\/ 2 + ---------- 2 + 2*\/ 2 + ---------- 2 + 2*\/ 2 + 2*cos(x) + 2*\/ 2 *cos(x) + ---------- + ---------------| \ 1 + cos(x) 1 + cos(x) 1 + cos(x) 1 + cos(x) / --------------------------------------------------------------------------------------------------------------------------------------- 2
/ ___ \ ___ | 1 sin(x) \/ 2 | \/ 2 *log|---------------------- + -------------------------------------------------------------- - ----------------------| | ___ sin(x) ___ ___ sin(x) cos(x)*sin(x) ___ sin(x) | |1 + \/ 2 + ---------- 1 + \/ 2 + \/ 2 *cos(x) + ---------- + ------------- + cos(x) 1 + \/ 2 + ----------| \ 1 + cos(x) 1 + cos(x) 1 + cos(x) 1 + cos(x)/ --------------------------------------------------------------------------------------------------------------------------- 2
/ ___ 2*sin(x) \ |2 - 2*\/ 2 + ----------| ___ | 1 + cos(x)| \/ 2 *log|------------------------| | 3/2 2*sin(x) | | 2 + 2 + ---------- | \ 1 + cos(x) / ----------------------------------- 2