∫(4x-1) (x² 4x-5)

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∫(4x-1) (x² 4x-5)
(x^5)+(x^4)+1

(x^5)+(x^4)+1=(x^5)+(x^4)+x^3-x^3+1=x^3(x^2+x+1)+(1-x)(x^2+x+1)=(x^2+x+1)(x^3-x+1)

x^5+x^4 = (x^3-x)(x^2+x+1)+x^2+x

是这样的:x^5+x^4=x^3(x^2+x)=(x^2+x)[(x^3-1)+1]=(x^2+x)(x^3-1)+x^2+x=[x(x+1)(x-1)](x^2+x+1)+x^2+x=(x^3-x)

|X-1|+|X-2|+|X-3|+|X-4|+|X-5|+|X-6|+|X-7|+|X-8|+|X-9|+|X-10|

|x-1|+|x-10|表示数轴上x到1的距离+x到10的距离.显然最小值是9,此时x只要在1到10之间就好.类似的,|x-2|+|x-9|的最小值是7,此时x在2到9之间就好.|x-3|+|x-8|

y=(x-1)(x-2)(x-3)(x-4)(x-5)(x-6)(x-7)(x-8)(x-9)(x-10)的导数在x=1

设a=(x-1)(x-2)(x-3)(x-4)(x-5)(x-6)(x-7)(x-8)(x-9)那么y=a*(x-10);那么y^=a^*(x-10)+a*(x-10)^=a^*(x-10)+a那么y

(1) x-3/x-2 - x-5/x-4=x-7/x-6 - x-9/x-8

1)(x-3)/(x-2)-(x-5)/(x-4)=(x-7)/(x-6)-(x-9)/(x-8)化简得【(x-3)(x-4)-(x-5)/(x-2)】/【(x-2)(x-4)】=【(x-7)(x-8

设函数f(x)=(x-1)(x-2)(x-3)(x-4)(x-5)(x-6)(x-7)(x-8)(x-9)(x-10),

 再问:额、不懂再答: 再答:后面的看做一个整体再问:好的吧、谢谢大神再答:回来的话,请采纳再问:啊、突然明白了呢。。。

(X+2)/(X+1)-(X+4)/(X+3)=(X+6)/(X+5)-(X+8)/(X+7)

(X+2)/(X+1)-(X+4)/(X+3)=(X+6)/(X+5)-(X+8)/(X+7)(X+1+1)/(X+1)-(X+3+1)/(X+3)=(X+5+1)/(X+5)-(X+7+1)/(X+

已知1+x+x^2+x^3=0,求x+x^2+x^3+x^4+x^5+x^6+x^7+x^8的值

x+x^2+x^3+x^4+x^5+x^6+x^7+x^8=(x+x^2+x^3+x^4)+(x^5+x^6+x^7+x^8)=x(1+x+x^2+x^3)+x^5(1+x+x^2+x^3)=(x+x

计算(x*x+4x+5)/(x+2)-(x*x+6x+10)/(x+3)+1

分子因式分解(x²+4x+4+1)/(x+2)-(x²+6x+9+1)/(x+3)+1=[(x+2)²+1]/(x+2)-[(x+3)²+1]/(x+3)+1=

x+2/x+1-x+3/x+2-x-4/x-3+x-5/x-4如何分解因式

原式=(x+2)/(x+1)-(x+3)/(x+2)-(x-4)/(x-3)+(x-5)/(x-4)=[(x+2)*(x+2)-(x+3)*(x+1)]/(x+1)*(x+2)--[(x-4)*(x-

提取公因式:已知x*x-5x+1=0 求x*x*x-4x*x-4x-1

即x²-5x=-1所以原式=x³-5x²+x²-5x+x-1=x(x²-5x)+(x²-5x)+x-1=-x-1+x-1=-2

解方程:2x+4x+6x...+100x=1-(x+3x+5x+...+99x)

2x+4x+6x...+100x=1-(x+3x+5x+...+99x)x(2+4+6+...+100)=1-x(1+3+5+...99)x(2+4+6+...+100)+x(1+3+5+...+99

(4x+2)/x+(4x-22)/(x-5)=(x-6)/(x-4)+(7x+9)/(x+1)

/>(4X+2)/X+【4(X-5)-2】/(X-5)=【(X-4)-2】/(X-4)+【7(X+1)+2】/(X+1)4+2/X+4-2/(X-5)=1-2/(X-4)+7+2/(X+1)8+2/X

解方程 x+2/x+1+x+8/x+7=x+6/x+5+x+4/x+3

首先由题意得x+1≠0,x+7≠0,x+5≠0,x+3≠0,即x≠-1,x≠-7,x≠-5,x≠-3,则先简化方程(x+1+1)/(x+1)+(x+7+1)/(x+7)=(x+5+1)/(x+5)+(

∫(x^4-4x^2+5x-15)/(x^2+1)(x-2) dx=?

∵(x^4-4x^2+5x-15)/[(x^2+1)(x-2)]=[(x^4+x²-5x²-5)+(5x-10)]/[(x²+1)(x-2)]=[x²(x&su

(x+2/x+1)-(x+4/x+3)-(x+3/x+2)+(x+5/x+4)

(x+2/x+1)-(x+4/x+3)-(x+3/x+2)+(x+5/x+4)=[(x+1/x+1)+(1/x+1)]-[(x+3/x+3)+(1/x+3)]-[(x+2/x+2)+(1/x+2)]+

∫ [(x^3-2x^2+x+1)/(x^4+5x^2+4)]dx

[(x^3-2x^2+x+1)/(x^4+5x^2+4)]=1/(x^2+1)+(x-3)/(x^2+4).原式=∫1/(x^2+1)dx+∫(x-3)/(x^2+4)dx=arctanx+(1/2)

(x-1)(x-2)(x-3)(x-4)=(x+5)(x+6)(x+7)求X等于几?

首先,等式两边不能同时为0..而且x为整数..证明很简单..若x是实数,不是整数,设x的小数部分为k,整数部分x-k=m,则左侧为[(m-1)+k][(m-2)+k][(m-3)+k][(m-4)+k

x+2/x+1-x+3/x+2-x+4/x+3+x+5/x+4

/>(x+2)/(x+1)-(x+3)/(x+2)-(x+4)/(x+3)+(x+5)/(x+4)=1+1/(x+1)-1-1/(x+2)-1-1/(x+3)+1+1/(x+4)=1/(x+1)-1/