作者plover (>//////<)
看板Math
标题[分析] 初微(4)
时间Fri Jul 1 22:24:58 2005
Let a and b be positive. Show that
+∞ -a(x^2) - (b/x^2)
∫ e dx = (1/2)√(π/a) e^( -2√(ab) ).
0
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※ 编辑: plover 来自: 219.68.227.219 (07/01 22:25)
1F:→ akrsw:z = x - sqrt(b/a)/x and140.110.206.115 07/02
2F:→ akrsw:x = z/2 + sqrt(z^2/4 + sqrt(b/a))140.110.206.115 07/02
3F:→ akrsw:变数变换140.110.206.115 07/02