integration

2011-01-26 5:18 am
∫ cos2x/(1+sin2x)2 dx

回答 (2)

2011-01-26 5:34 am
✔ 最佳答案
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2011-01-26 20:39:58 補充:
If you want more detailed steps, you can do it this way:
Let u=1+sin 2x
du =2 cos 2x dx => cos 2x dx = du /2
Hence ∫ cos 2x / (1+ sin 2x)^2 dx
=1/2 ∫1/u^2 du
=-1/2u + C
= -1/2(1+ sin 2x) + C


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