=∫arctanxdx^2
=x^2.arctanx -∫x^2/(1+x^2) dx
=x^2.arctanx -∫[1 - 1/(1+x^2)] dx
=x^2.arctanx -x +arctanx + C
求不定积分∫2xarctanxdx
=∫arctanxdx^2 =x^2.arctanx -∫x^2\/(1+x^2) dx =x^2.arctanx -∫[1 - 1\/(1+x^2)] dx =x^2.arctanx -x +arctanx + C
求不定积分∫2arctanxdx
分部积分，方法如下，请作参考：
x^2arctanxdx不定积分求过程
∫x^2arctanxdx=1\/3x^3arctanx-1\/6x^2+1\/6ln(1+x^2)+C。（C为积分常数）∫(x^2)*arctanxdx =1\/3∫arctanxdx^3 =1\/3x^3arctanx-1\/3∫x^3\/(1+x^2)dx =1\/3x^3arctanx-1\/6∫x^2\/(1+x^2)dx^2 =1\/3x^3arctanx-1\/6∫[1-1\/(1+x^2)]dx^2 =1\/3x^3arc...
求不定积分∫x^2arctanxdx
=x³\/3arctanx-∫x³\/3·1\/(1+x²)dx =x³\/3arctanx-1\/3∫(x³+x-x)\/（1+x²）dx =x³\/3artanx-1\/3∫[x-x\/(1+x²)]dx =x³\/3artanx-x²\/6+1\/6∫1\/(1+x²)d(1+x²)=x³\/3arctanx-x&...
x2arctanx的不定积分
求解过程如下：∫(x^2)*arctanxdx =1\/3∫arctanxdx^3 =1\/3x^3arctanx-1\/3∫x^3\/(1+x^2)dx =1\/3x^3arctanx-1\/6∫x^2\/(1+x^2)dx^2 =1\/3x^3arctanx-1\/6∫[1-1\/(1+x^2)]dx^2 =1\/3x^3arctanx-1\/6x^2+1\/6ln(1+x^2)+C（C为常数）设函数和u，v具有连续...
∫x²arctanxdx怎么算
分部积分思想：∫x^2arctanxdx=(1\/3)∫arctanxdx^3 =(1\/3)x^3arctanx-(1\/3)∫x^3darctanx =(1\/3)x^3arctanx-(1\/3)∫[(x^3+x)-x]\/(1+x^2)dx =(1\/3)x^3arctanx-(1\/3)∫xdx+(1\/3)∫(x)\/(1+x^2)dx =(1\/3)x^3arctanx-(1\/6)x^2+(1\/6)ln(1+x^...
x2arctanx的不定积分
=(1\/3)x^3.arctanx - (1\/6)x^2 + (1\/6)ln|1+x^2| + C 记作∫f(x)dx或者∫f（高等微积分中常省去dx），即∫f(x)dx=F(x)+C。其中∫叫做积分号，f(x)叫做被积函数，x叫做积分变量，f(x)dx叫做被积式，C叫做积分常数或积分常量，求已知函数的不定积分的过程叫做对这个函数...
求不定积分:x^2·arctanx
解：∫x²arctanxdx=∫arctanxd(x³\/3)=(x³arctanx)\/3-1\/3∫x³dx\/(1+x²) (应用分部积分法)=(x³arctanx)\/3-1\/6∫(1+x²-1)d(x²)\/(1+x²)=(x³arctanx)\/3-1\/6∫(1-1\/(1+x²))d(x²)=(...
求不定积分∫x^2arctanxdx
∫x^2arctanxdx=1\/3x^3arctanx-1\/6x^2+1\/6ln(1+x^2)+C。（C为积分常数）∫(x^2)*arctanxdx =1\/3∫arctanxdx^3 =1\/3x^3arctanx-1\/3∫x^3\/(1+x^2)dx =1\/3x^3arctanx-1\/6∫x^2\/(1+x^2)dx^2 =1\/3x^3arctanx-1\/6∫[1-1\/(1+x^2)]dx^2 =1\/3x^3arc...
∫(2X+1)arctanX dx不定积分求解?
1+x^2)d(1+x^2)=xarctanx-ln(1+x^2)\/2+C ∫2xarctanxdx=∫arctanxd(x^2)=x^2*arctanx-∫x^2darctanx =x^2*arctanx-∫（1-1\/1+x^2)dx =x^2*arctanx-x+arctanx+C 两部分相加得所求积分为xarctanx-ln(1+x^2)\/2+x^2*arctanx-x+arctanx+C ...
