积分:x乘arctanx
积分:x乘arctanx dx -
分部积分x * arctanx dx = arctanx d(x^2 /2)∫x * arctanx dx = ∫arctanx d(x^2 /2) = arctanx(x^2 /2) – (1/2)∫x^2 / (1+x^2) dx∫x^2 / (1+x^2) dx = x – arctanx + C∴∫x * arctanx dx =(x^2+1)arctan希望你能满意。
xarctanx不定积分:∫xarctanxdx =∫arctanxd(x²/2)=(x²/2)arctanx-(1/2)∫x²d(arctanx)=(1/2)x²arctanx-(1/2)∫x²/(x²+1)dx =(1/2)x²arctanx-(1/2)∫[(x²+1)-1]/(x²+1)dx =(1/2)x²arcta有帮助请点赞。
分部积分x * arctanx dx = arctanx d(x^2 /2)∫x * arctanx dx = ∫arctanx d(x^2 /2) = arctanx(x^2 /2) – (1/2)∫x^2 / (1+x^2) dx∫x^2 / (1+x^2) dx = x – arctanx + C∴∫x * arctanx dx =(x^2+1)arctan希望你能满意。
xarctanx不定积分:∫xarctanxdx =∫arctanxd(x²/2)=(x²/2)arctanx-(1/2)∫x²d(arctanx)=(1/2)x²arctanx-(1/2)∫x²/(x²+1)dx =(1/2)x²arctanx-(1/2)∫[(x²+1)-1]/(x²+1)dx =(1/2)x²arcta有帮助请点赞。
分部积分x * arctanx dx = arctanx d(x^2 /2)∫x * arctanx dx = ∫arctanx d(x^2 /2)= arctanx(x^2 /2) – (1/2)∫x^2 / (1+x^2) dx ∫x^2 / (1+x^2) dx = x – arctanx + C ∴∫x * arctanx dx =(x^2+1)arctanx / 2 – x/2 +C 有帮助请点赞。
∫ xarctanx dx = ∫ arctanx d(x²/2)= (x²/2)arctanx - (1/2)∫ x² d(arctanx)= (1/2)x²arctanx - (1/2)∫ x²/(x² + 1) dx = (1/2)x²arctanx - (1/2)∫ [(x² + 1) - 1]/(x² + 1) dx 好了吧!
不定积分x乘以arctanx dx怎么求? -
= ∫ arctanx d(x²/2)= (1/2)x²arctanx - (1/2)∫ x² d(arctanx)= (1/2)x²arctanx - (1/2)∫ x²/(x² + 1) dx = (1/2)x²arctanx - (1/2)∫ [(x² + 1) - 1]/(x² + 1) dx = (1/2)x&#等会说。
= (x²/2)arctanx - (1/2)∫ x²/(x² + 1) dx = (x²/2)arctanx - (1/2)∫ (x² + 1 - 1)/(x² + 1) dx = (x²/2)arctanx - (1/2)∫ dx + (1/2)∫ dx/(x² + 1)= (x²/2)arctanx - x/2 + 好了吧!
xarctanx积分表怎么变换? -
xarctanx不定积分:∫xarctanxdx=∫arctanxd(x²/2)=(x²/2)arctanx-(1/2)∫x²d(arctanx)=(1/2)x²arctanx-(1/2)∫x²/(x²+1)dx=(1/2)x²arctanx-(1/2)∫[(x²+1)-1]/(x²+1)dx=(1/2)x²arctanx-后面会介绍。
∫x *arctanx dx =∫ arctanx d(0.5x^2)= 0.5x^2 *arctanx - ∫ 0.5x^2 d(arctanx)= 0.5x^2 *arctanx - ∫ 0.5x^2/(1+x^2) dx = 0.5x^2 *arctanx - 0.5 *∫ 1- 1/(1+x^2) dx =0.5x^2 *arctanx - 0.5x + 0.5arctanx +C,C为常数还有呢?
∫xarctanxdx的积分表达式是什么? -
∫xarctanxdx=x²/2arctanx-1/2x+1/2arctanx+c。c为积分常数。解答过程如下:∫xarctanxdx =∫arctanxdx²/2 =x²/2arctanx-∫x²/2darctanx =x²/2arctanx-1/2∫x²/(1+x²)dx =x²/2arctanx-1/2∫(x²+1-1)/(1+后面会介绍。
= (1/2)x^2(arctanx) - (1/2)∫ dx+ (1/2)∫ 1/(1+x^2) dx = (1/2)x^2(arctanx) - (1/2)x + (1/2) arctanx + C 不定积分释义:微积分的重要概念。如果在区间i内,f′=f,那么函数f就称为f在区间i内的原函数。原函数的一般表达式f+c(c是任一常数)称为f的后面会介绍。