∫dt/(1+cost)

问题描述:

∫dt/(1+cost)
1个回答 分类:数学 2014-12-15

问题解答:

我来补答
∫ 1/(1 + cost) dt,cos2t = 2cos²t - 1 ==> cost = 2cos²(t/2) - 1
= ∫ 1/[2cos²(t/2)] dt
= ∫ sec²(t/2) d(t/2)
= tan(t/2) + C
= sint/(1 + cost) + C
 
 
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