3 cot (2*x - 3) ------------- /log(x + 2)\ |----------| \ log(3) /
cot(2*x - 3)^3/((log(x + 2)/log(3)))
3 2 log(3) / 2 \ cot (2*x - 3)*log(3) cot (2*x - 3)*----------*\-6 - 6*cot (2*x - 3)/ - -------------------- log(x + 2) 2 (x + 2)*log (x + 2)
/ 2 / 2 \ \ | cot (-3 + 2*x)*|1 + ----------| / 2 \ | | / 2 \ / 2 \ \ log(2 + x)/ 12*\1 + cot (-3 + 2*x)/*cot(-3 + 2*x)| |24*\1 + cot (-3 + 2*x)/*\1 + 2*cot (-3 + 2*x)/ + ------------------------------- + -------------------------------------|*cot(-3 + 2*x)*log(3) | 2 (2 + x)*log(2 + x) | \ (2 + x) *log(2 + x) / ----------------------------------------------------------------------------------------------------------------------------------------------- log(2 + x)
/ 3 / 3 3 \ \ | cot (-3 + 2*x)*|1 + ---------- + -----------| 2 / 2 \ / 2 \ | | / 2 \ | log(2 + x) 2 | 9*cot (-3 + 2*x)*\1 + cot (-3 + 2*x)/*|1 + ----------| / 2 \ / 2 \ | | / 2 \ |/ 2 \ 4 2 / 2 \| \ log (2 + x)/ \ log(2 + x)/ 36*\1 + cot (-3 + 2*x)/*\1 + 2*cot (-3 + 2*x)/*cot(-3 + 2*x)| -2*|24*\1 + cot (-3 + 2*x)/*\\1 + cot (-3 + 2*x)/ + 2*cot (-3 + 2*x) + 7*cot (-3 + 2*x)*\1 + cot (-3 + 2*x)// + --------------------------------------------- + ------------------------------------------------------ + ------------------------------------------------------------|*log(3) | 3 2 (2 + x)*log(2 + x) | \ (2 + x) *log(2 + x) (2 + x) *log(2 + x) / ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- log(2 + x)
/ 3 / 3 3 \ \ | cot (-3 + 2*x)*|1 + ---------- + -----------| 2 / 2 \ / 2 \ | | / 2 \ | log(2 + x) 2 | 9*cot (-3 + 2*x)*\1 + cot (-3 + 2*x)/*|1 + ----------| / 2 \ / 2 \ | | / 2 \ |/ 2 \ 4 2 / 2 \| \ log (2 + x)/ \ log(2 + x)/ 36*\1 + cot (-3 + 2*x)/*\1 + 2*cot (-3 + 2*x)/*cot(-3 + 2*x)| -2*|24*\1 + cot (-3 + 2*x)/*\\1 + cot (-3 + 2*x)/ + 2*cot (-3 + 2*x) + 7*cot (-3 + 2*x)*\1 + cot (-3 + 2*x)// + --------------------------------------------- + ------------------------------------------------------ + ------------------------------------------------------------|*log(3) | 3 2 (2 + x)*log(2 + x) | \ (2 + x) *log(2 + x) (2 + x) *log(2 + x) / ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- log(2 + x)