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NEST2024MathematicsDefinite Integration

Let f: R R be the function satisfying f^ =f and f(0)=1 . Let g: R R be the function that satisfies f(x)+g(x)=x^3, x R Then ₀^1 f(x) g(x) d x is equal to

Options

  1. A13 2 -e+ e^2 2
  2. B13 2 -2 e- e^2 2
  3. Ce^2 2
  4. De+ e^2 2

Correct answer

B. 13 2 -2 e- e^2 2

Step-by-step solution

No solution available.

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