Let f(x) be a function satisfying f′(x)=f(x)=ex with f(0)=1 and g(x) be a function that satisfies f(x)+g(x)=x². Then, the value of the integral ∫¹₀0f(x)g(x)dx is

A. e+e²/2+5/2
B. e−e²/2−5/2
C. e−e²/2−3/2
D. e+e²/2−3/2