大师作文网∫[(2^x-3^x)]÷5^xdx
来源：学生作业帮助网 编辑：作业帮 时间：2024/11/11 19:18:08
![∫[(2^x-3^x)]÷5^xdx](/uploads/image/f/933971-59-1.jpg?t=%E2%88%AB%5B%282%5Ex-3%5Ex%29%5D%C3%B75%5Exdx)
(x+1-1/1-x)÷(x-x²/x-1)=[(x+1)+1/(x-1)]×[-(x-1)/x(x-1)]=(x²-1+1)/(x-1)×(-1/x)=-x/(x-1)(x-4/
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-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|
x(1+2+...+9)=x(9-8-7-...-1)x=0记得采纳啊
2x+3x+4x+5x+x+6x+7x=10028x=100x=100/28x=25/7
设x+3＝t→dx＝dt,代入原式得∫[(2x²+3x-5)/(x+3)]dx＝∫[(2(t-3)²+3(t-3)-5)/t]dt＝∫[2t+(4/t)-9]dt＝t²+
原式=[(x²-x-6)/(x-3)]÷[(x-3)/(x²-5x+6)]={[(x+2)(x-3)]/(x-3)}÷{(x-3)/[(x-2)(x-3)]}=(x+2)÷[1/(
x/(x-2)=2x/(x-3)+(1-x)/(x-5x+6)x/(x-2)=2x/(x-3)+(1-x)/(x-2)(x-3)x(x-3)/(x-2)(x-3)=2x(x-2)/(x-2)(x-3)
1.(x^3-3x^2)/(x^2+5x+6)÷(x^3-9x)/(x^2+2x-3)*(x+2)/(2x)=x^2(x-3)/(x+2)(x+3)*(x+3)(x-1)/x(x+3)(x-3)*(x
-x+(2x-2)-(3x+5)=-x+2x-2-3x-5去括号=-2x-7合并同类项刚才可能写错了,不好意思.再问：x前面有个负号再算算求你了再答：-x+2x=xx-3x=-2x-2-5=-7最后就
①=15x²-10x-x-1=15x²-11x-1②=15x-10-x-1=14x-11①是5x（3x-2）-（x-1）②是5乘（3x-2）-（x-1）你自己选吧
原式化简：{（x-3)(x-2)/(x-3)(x-4)}²÷{(x+1)(x+2)/(x-4)(x+2)}²{(x-2)/(x-4)}²÷{(x+1)/(x-4)}
原式=[x/(x-3)]-[5x/(x²-x-6)]=[x/(x-3)]-(5x)/[(x-3)(x+2)]=[x(x+2)]/[(x-3)(x+2)]-(5x)/[(x-3)(x+2)]=
[(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(2-1/x)+x/(x^2-2x)÷(3-x)/(x^2-4)=x((2x-1)/x)+x/(x^2-2x)x(x^2-4)/(3-x)=(2x-1)+(x+2)/(3-x)=(7x-3-2x^2
/>(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/
5负1再答：