∫(x^4-4x^2+5x-15)/(x^2+1)(x-2) dx=?把式子因数化,变成(?)/(x^2+1)+(?)/(x-2)步,带骤,

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∫(x^4-4x^2+5x-15)/(x^2+1)(x-2) dx=?把式子因数化,变成(?)/(x^2+1)+(?)/(x-2)步,带骤,

∫(x^4-4x^2+5x-15)/(x^2+1)(x-2) dx=?把式子因数化,变成(?)/(x^2+1)+(?)/(x-2)步,带骤,
∫(x^4-4x^2+5x-15)/(x^2+1)(x-2) dx=?
把式子因数化,变成(?)/(x^2+1)+(?)/(x-2)步,带骤,

∫(x^4-4x^2+5x-15)/(x^2+1)(x-2) dx=?把式子因数化,变成(?)/(x^2+1)+(?)/(x-2)步,带骤,
∵(x^4-4x^2+5x-15)/[(x^2+1)(x-2)]
=[(x^4+x²-5x²-5)+(5x-10)]/[(x²+1)(x-2)]
=[x²(x²+1)-5(x²+1)+5(x-2)]/[(x²+1)(x-2)]
=[(x²+1)(x²-5)+5(x-2)]/[(x²+1)(x-2)]
=(x²-5)/(x-2)+5/(x²+1)
=[(x²-2x)+(2x-4)-1]/(x-2)+5/(x²+1)
=[x(x-2)+2(x-2)-1]/(x-2)+5/(x²+1)
=x+2-1/(x-2)+5/(x²+1)
∴∫(x^4-4x^2+5x-15)/(x^2+1)(x-2)dx
=∫[x+2-1/(x-2)+5/(x²+1)]dx
=x²/2+2x-ln|x-2|+5arctanx+C,(C是积分常数).

分解为 (x^3+x+5)/(x^2+1)+(2x-5)/(x-2)=5/(x^2+1)-1/(x-2)+x+2
再求积分得5arctanx-log(x-2)+x^2/2+2x+一个常数

*-----------------------------------------------*| 6 4 X | 8 X X | X X 5 || X X X | X X X | X 7 8 || X X X | X X X | X X X ||---------------+---------------+--------------- || X X X | X X X | 5 1 X || X X X | X 6 X | X X X || 8 X X | 3 5 X | 2 X X || 通分:x+4/x^2-8x+15,x-5/x^2+x-12,x-3/x^2-x-20 计算:[(x+2)/(x+3) - (x+1)/(x+2) + (x+4)/(x+5) - (x+3)/(x+4) / (x^2 + 7x + 13)/(x^2 + 8x + 15) [(x+2)/(x+3)-(x+1)/(x+2)+(x+4)/(x+5)-(x+3)/(x+4)]/[(x的平方+7x+13)/(x的平方+8x+15)] 通分x+4/x*x+4x与x-5/x(x-5)-2(x-5) x+2/x+1-x+3/x+2-x+4/x+3+x+5/x+4 (x+3x+5x...+2009x)-(2x+4x+6x+...+2010x) x^5-x^4+x^3-x^2+x-1 x^6-x^5+x^4-x^2+x-1 求一个数独答案X X X 9 X X X 8 2 X 6 3 X X 1 4 X 99 X 8 X X X X X XX X X 6 7 X 3 X XX 4 6 X 5 X 2 9 XX X 7 X 2 3 X X XX X X X X X 7 X 17 X 4 3 X X 6 2 X6 3 X X X 7 X X X 15X(4X-8)-5X(2X+10)=6X(5X-20) 难倒爱因斯坦的九宫格X 7 X | X 8 1 | X X X |X X X | X 4 X | 7 5 9 |X X 5 | 7 X 9 | X 1 4 |5 X X | X X 8 | 3 9 X |3 9 6 | 4 X 7 | X X 2 |X 8 7 | 9 X X | X X X |4 X X | 6 X 5 | X X X | X X 4 | X X 1 |2 X X | X X X | X X X | X 3 X | X X X |X 6 1x+2x+3x+4x+5x+6x+7x+8x+9x+10x+11x+12x+13x+14x+15x=550必须用解方程 x+2x+3x+4x+5x+6x+7x+8x+9x=9x-8x-7x-6x-5x-4x-3x-2x-x.x等于多少? 如下9*9宫图如何填x x x 1 x x x 2 9x x 5 x x x x x 4x 6 8 x x x x x xx x x 7 x x 5 x xx 2 x x 6 x x 8 xx x 3 x x 9 x x xx x x x 5 x 1 6 x 4 x x x 3 x x x x 7 x x x x 2 x x x (x/x-2-x/x+2)/4x/x-2 解九宫格题目（X为未知数）9 X 2 X 7 X 8 X XX X 4 X X 9 X 6 X1 3 X 5 X X X X 24 X X 8 5 X X 1 XX 8 9 4 X 1 6 7 XX 1 X X 3 6 X X 88 X X X X 2 X 3 6X 5 X 6 X X 9 X XX X 7 X 4 X 2 X 1 (x-3/x-2)-(x-2/x-1)=(x-5/x4) -(x-4/x-3)