y=xe^x^2

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y=xe^x^2

y=xe^x^2
y=xe^x^2

y=xe^x^2
y'=1*e^(x²)+x*e^(x²)*2x
=(2x²+1)e^(x²)
所以y''=(4x)*e^(x²)+(2x²+1)*e^(x²)*2x
=(4x³+6x)e^(x²)

Sn=1/6*[2/n(n+1)(n+2)]
=1/6*[(n+2)-n]/n(n+1)(n+2)]
=(1/6)[1/n(n+1)-1/(n+1)(n+2)]
所以和=(1/6)[1/1*2-1/2*3+1/2*3-1/3*4+……+1/n(n+1)-1/(n+1)(n+2)]
=(1/6)[1/1*2-1/(n+1)(n+2)]
=(n²+3n)/(12n²+36n+24)