∫xdx/(x^2-2x+2)^2求解

来源:学生作业帮助网 编辑:作业帮 时间:2024/11/16 22:31:59
∫xdx/(x^2-2x+2)^2求解
x){Ա"~8#] m#8g^,_lTW^ΆXƚ&Z@ac0PD 59y vC$<LF 1H4 Rd

∫xdx/(x^2-2x+2)^2求解
∫xdx/(x^2-2x+2)^2求解

∫xdx/(x^2-2x+2)^2求解
∫xdx/(x^2-2x-3)=1/4*(∫3dx/(x-3)+∫dx/(x+1))=1/4(3ln(x-3)+ln(x+1))+C=1/4(ln(x-3)^3+ln(x+1))+C=1/4ln((x-3)^3(x+1))+C