求不定积分 cos^2x dx
解:cos^2x=(1+cos2x)\/2,所以∫cos^2x dx =∫(1+cos2x)\/2dx =x\/2+sin2x\/4+C,C为积分常数。
求不定积分 cos^2x dx
∴∫ cos^2x dx=∫ (1+cos2x)\/2 dx =(1\/4) ∫ (1+cos2x) d2x =(2x+sin2x+C)\/4
cos^2x求不定积分
回答:∫cos^2xdx =∫(1+cos2x)dx\/2 =∫(1+cos2x)d2x\/4 =(1\/4)∫[d2x+cos2xd2x] =(1\/4){2x+sin2x+C1} =x\/2+(sin2x)\/4+C
cos^2x求不定积分
=(1\/4)∫[d2x+cos2xd2x]=(1\/4){2x+sin2x+C1} =x\/2+(sin2x)\/4+C 不定积分的公式 1、∫ a dx = ax + C,a和C都是常数 2、∫ x^a dx = [x^(a + 1)]\/(a + 1) + C,其中a为常数且 a ≠ -1 3、∫ 1\/x dx = ln|x| + C 4、∫ a^x dx = (1\/lna)a^...
求不定积分∫cos^2xdx
∫cos^2xdx =1\/2∫1+cos2xdx =1\/2(x+∫cos2xdx)=1\/2(x+1\/2∫dsin2x)=x\/2+sin2x\/4+C
CosX^2dx 的不定积分怎么求啊 谢了
=1\/2∫(1+cos2x)dx =1\/2∫1dx+1\/2∫cos2xdx =1\/2x+1\/4∫cos2xdx =1\/2x+1\/4sin2x+C
∫cos²2xdx,高等数学,不定积分
倍角加分步 cos^2x=(cos2x+1)\/2 原因为化为 ∫1\/2*x^2dx+1\/4∫x^2dsin2x =1\/6x^3+1\/4sin2x*x^2-1\/2∫xsin2xdx =1\/6x^3+1\/4sin2x*x^2+1\/4xcos2x-1\/4∫cos2xdx =1\/6x^3+1\/4sin2x*x^2+1\/4xcos2x+1\/8sin2x 思路是这样,错没错不晓得 ...
求不定积分 x\/cos^2x dx
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cos²x的不定积分
∫cos^2xdx =∫(1+cos2x)dx\/2 =∫(1+cos2x)d2x\/4 =(1\/4)∫[d2x+cos2xd2x]=(1\/4){2x+sin2x+C1} =x\/2+(sin2x)\/4+C
cosx^2的不定积分如何求?
cosx^2的不定积分如下:=1\/2∫(1+cos2x)dx =1\/2∫1dx+1\/2∫cos2xdx =1\/2x+1\/4∫cos2xdx =1\/2x+1\/4sin2x+C 简介 在数学中,反三角函数或环形函数(cyclometric functions))是三角函数的反函数(具有适当的限制域)。具体来说,它们是正弦,余弦,正切,余切,正割和辅助函数的反函数...