1 / | / 2 \ / 2 \ | x 1 log\1 + tan (1/2)/ tan(1/2) 2*(pi*I + log(1 - tan(1/2))) log\1 + tan (1/2)/*tan(1/2) 2*(pi*I + log(1 - tan(1/2)))*tan(1/2) | ---------- dx = - ------------- + ------------------ - ------------- - 2*pi*I - ---------------------------- - --------------------------- + ------------------------------------- | 1 - sin(x) -1 + tan(1/2) -1 + tan(1/2) -1 + tan(1/2) -1 + tan(1/2) -1 + tan(1/2) -1 + tan(1/2) | / 0
1.5664058010663
/ / 2/x\\ / /x\\ /x\ / 2/x\\ /x\ / /x\\ /x\ | log|1 + tan |-|| 2*log|-1 + tan|-|| x*tan|-| log|1 + tan |-||*tan|-| 2*log|-1 + tan|-||*tan|-| | x \ \2// x \ \2// \2/ \ \2// \2/ \ \2// \2/ | ---------- dx = C + ---------------- - ----------- - ------------------ - ----------- - ----------------------- + ------------------------- | 1 - sin(x) /x\ /x\ /x\ /x\ /x\ /x\ | -1 + tan|-| -1 + tan|-| -1 + tan|-| -1 + tan|-| -1 + tan|-| -1 + tan|-| / \2/ \2/ \2/ \2/ \2/ \2/