∫ (1+cos^2 x)/cos^2 x dx = 我的算法:∫ (1+cos^2 x)/cos^2 x dx = 1/cos^2 x + 1 = 2/(cos2x +1 ) + 1 = 2(cos2x+1)^-1 +1=这么变成了 2(cos2x+1)^0/(0) 不对啊 ==

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∫(1+cos^2x)/cos^2xdx=我的算法:∫(1+cos^2x)/cos^2xdx=1/cos^2x+1=2/(cos2x+1)+1=2(cos2x+1)^-1+1=这么变成了2(cos2x

∫ (1+cos^2 x)/cos^2 x dx = 我的算法:∫ (1+cos^2 x)/cos^2 x dx = 1/cos^2 x + 1 = 2/(cos2x +1 ) + 1 = 2(cos2x+1)^-1 +1=这么变成了 2(cos2x+1)^0/(0) 不对啊 ==
∫ (1+cos^2 x)/cos^2 x dx =
我的算法:∫ (1+cos^2 x)/cos^2 x dx = 1/cos^2 x + 1 = 2/(cos2x +1 ) + 1 = 2(cos2x+1)^-1 +1=这么变成了 2(cos2x+1)^0/(0) 不对啊 ==

∫ (1+cos^2 x)/cos^2 x dx = 我的算法:∫ (1+cos^2 x)/cos^2 x dx = 1/cos^2 x + 1 = 2/(cos2x +1 ) + 1 = 2(cos2x+1)^-1 +1=这么变成了 2(cos2x+1)^0/(0) 不对啊 ==
∫ (1+cos^2 x)/cos^2 x dx =∫1/cos^2 x + 1dx
=∫1/cos^2 xdx+x
=∫1d(tanx)+x
=tanx+x+c

原式=∫(1/cos²x+1)dx
=∫(sec²x+1)dx
=∫d(tanx)+∫dx
=tanx+x+C (C是积分常数)