有關 amath ce 02 年的.....

2007-04-08 12:00 am
1/2
∫ (1 - x^2)^ (-1/2) dx
0
[hint : let x = sinθ ]

請問點in 呀??? 我 in 數真的很差....m(__)m

回答 (2)

2007-04-08 12:12 am
✔ 最佳答案
putx=sinθ,dx=cosθdθ
when x=1/2,θ=@/6 (@=pie)
x=0,θ=0


1/2
∫ (1 - x^2)^ (-1/2) dx
0

= @/6
∫ (1-sin^2 θ)^ (-1/2) cosθdθ
0
= 1/2
∫ (cosθ/cosθ)dθ
0
= @/6
∫ dθ
0

= @/6
[θ]
0

=@/6


good
參考: ME
2007-04-08 7:37 am
it is out c la bo~


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