Definite IntegrationHard

Question

Let f(x) be a function satisfying f′(x) = f(x) with f(0) = 1 and g be the function satisfying f(x) + g(x) = x2. The value of the integral f(x) g(x) dx is -

Options

A.e - e2 -
B.e - e2 - 3
C.(e - 3)
D.e - e2 -

Solution

-

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