两條A-maths問題

2011-05-29 2:02 am
拜託!!!!!!!!!!!!!!!!!!!!!!!!!!!
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回答 (1)

2011-05-29 2:35 am
✔ 最佳答案
1) Sub u = x3 + 9x, then du = (3x2 + 9)dx, i.e. du/3 = (x2 + 3)dx

∫ (x2 + 3)dx/(x3 + 9x)2 = (1/3) ∫ du/u2

= - 1/(3u) + C

= -1/[3(x3 + 9x)] + C

2) (m - 2)(m + 2) = m + 26

m2 - 4 = m + 26

m2 - m - 30 = 0

(m - 6)(m + 5) = 0

m = 6 or -5 (rej. since m is even)

So the nos. are 4, 6 and 8
參考: 原創答3


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