[積分] 華里茲-Part2
假設我們知道:
π/2 k π/2 k
∫ (sinx) dx = ∫ (sinx) dx
0 0
2*4*6*(k-1)
odd : ------------
1*3*5* k
k : {
1*3*5*(k-1) π
even: ------------ * ---
2*4*6* k 2
下列這幾題要怎麼算 :
2π 5
1. ∫ (cosx) dx = 0
0
(3π/2) 5 8
2. ∫ (cosx) dx = - ------
0 15
π/2 5 16
3. ∫ (cosx) dx = ----
-π/2 15
2π 6 75π
4. ∫ (sinx) dx = -----
-π/2 96
積分的範圍 改變了 要怎麼看 ?
麻煩了! 謝謝
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