∫ (1+cos^2 x)/cos^2 x dx = 我的算法：∫ (1+cos^2 x)/cos^2 x dx = 1/cos^_数学解答

∫ (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 ==

人气：438 ℃　时间：2020-05-13 12:31:30

解答

∫ (1+cos^2 x)/cos^2 x dx =∫1/cos^2 x + 1dx
=∫1/cos^2 xdx+x
=∫1d（tanx)+x
=tanx+x+c