高等数学简单积分题

高等数学简单积分题这个怎么解啊???
2025-04-27 18:10:42
推荐回答(2个)
回答1:

降幂再降幂
I = (1/4) ∫ (1+cos2x)^2 dx
= (1/4) ∫ [1+cos2x+(cos2x)^2] dx
= (1/4) ∫ (1+cos2x+1/2+cos4x) dx
= (1/4) ∫ (3/2+cos2x+cos4x) dx
= (1/4) [(3/2)x + (1/2)sin2x + (1/4)sin4x] + C

回答2:

很简单,但是我也不会了