∫{（x+1）^2/[x(x^2+1)]}dx=A.ln|x|+x+C B.ln|x|+ln(1+x^2)+CC.ln|x|+2arctanx+C D.ln|x|+C

来源：学生作业帮助网编辑：六六作业网时间：2024/12/24 12:51:10

∫{（x+1）^2/[x(x^2+1)]}dx=A.ln|x|+x+CB.ln|x|+ln(1+x^2)+CC.ln|x|+2arctanx+CD.ln|x|+C∫{（x+1）^2/[x(x^2+1)

∫{（x+1）^2/[x(x^2+1)]}dx=A.ln|x|+x+C B.ln|x|+ln(1+x^2)+CC.ln|x|+2arctanx+C D.ln|x|+C
∫{（x+1）^2/[x(x^2+1)]}dx=
A.ln|x|+x+C B.ln|x|+ln(1+x^2)+C
C.ln|x|+2arctanx+C D.ln|x|+C

∫{（x+1）^2/[x(x^2+1)]}dx=A.ln|x|+x+C B.ln|x|+ln(1+x^2)+CC.ln|x|+2arctanx+C D.ln|x|+C
∫{（x+1）^2/[x(x^2+1)]}dx
=∫{（x^2+1+2x）/[x(x^2+1)]}dx
=∫1/xdx+∫2/(x^2+1)dx
=.ln|x|+2arctanx+C
选C

∫{(x+1)²/[x(x²+1)]}dx
=∫{(x²+2x+1)/[x(x²+1)]}dx
=∫[(1/x)+2/(x²+1)]dx
=∫(1/x)dx+2∫[1/(x²+1)]dx
=ln|x|+2arctanx+C
选C

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