∫ -xlogx dx
=-∫ logxd(x^2)/2
=-x^2*logx/2+∫ (x^2/2)dlogx
=-x^2*logx/2+∫ (x^2/2)(1/x)ln10dx
=-x^2*logx/2+∫ (x/2)ln10dx
=-x^2*logx/2+ln10*x^2/4+C（其中C是任意常数)
不知是否明白了O(∩_∩)O哈!
微积分,∫ -xlogx dx怎么算?
∫ -xlogx dx
=-∫ logxd(x^2)/2
=-x^2*logx/2+∫ (x^2/2)dlogx
=-x^2*logx/2+∫ (x^2/2)(1/x)ln10dx
=-x^2*logx/2+∫ (x/2)ln10dx
=-x^2*logx/2+ln10*x^2/4+C（其中C是任意常数)
不知是否明白了O(∩_∩)O哈!