→ suker : 就分子(x-1/2) +(3/2) 拆這2項 06/13 14:51
→ suker : ∫ (x-1/2) / {(x-1/2)^2 +3/4} dx + 06/13 14:58
→ suker : ∫ (3/2) / {(x-1/2)^2 +3/4} dx 06/13 14:58
→ suker : (2)式 令u=(x-1/2) ,(1/2)∫2u/(u^2+3/4)du= 06/13 15:02
→ suker : =(1/2) ln|u^2+3/4| =(1/2) ln|x^2-x+1| 06/13 15:04
→ suker : (3)查積分表比較快 要推導用三角函數也可以 複雜點 06/13 15:05
推 pupss92111 : nice 06/13 15:34
推 a016258 : ∫ 1/(x^2+a^2) dx = (1/a) tan^(-1) (x/a) 06/13 17:42
→ a016258 : x -> x - 1/2 , a -> √3 / 2 06/13 17:43
→ suker : 嫌打字太麻煩就參考積分表 樓上真簡易打出 06/13 18:19