Let f(x) be a function satisfying f'(x) = f(x) with f(0) = 1 and g(x) be a function that satisfies f(x) +...

Question

Let f(x) be a function satisfying f'(x) = f(x) with f(0) = 1 and g(x) be a function that satisfies f(x) + g(x) = x^2. Then the value of the integral _0^1 f(x)g(x)dx, is

Accepted Answer

(4)

JEE Main 2003 Mathematics question

Solution

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