y=S(x^3/(x^2+1)) (微积分题)

来源:学生作业帮助网 编辑:六六作业网 时间:2024/12/23 05:03:26
y=S(x^3/(x^2+1))(微积分题)y=S(x^3/(x^2+1))(微积分题)y=S(x^3/(x^2+1))(微积分题)=S(x^3/(x^2+1))=S(x-x/(x^2+1))=0.5

y=S(x^3/(x^2+1)) (微积分题)
y=S(x^3/(x^2+1)) (微积分题)

y=S(x^3/(x^2+1)) (微积分题)
=S(x^3/(x^2+1)) =S(x-x/(x^2+1))=0.5x^2-0.5Ln(x^2+1)

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