Question:medium
If $f(x)$ is a non-constant polynomial satisfying $f(x) = f'(x)f''(x)$ and $f(0) = 0$. Then the value of $\int_0^2 f(x) dx + f'(2) + f''(2)$ is :
If $f(x)$ is a non-constant polynomial satisfying $f(x) = f'(x)f''(x)$ and $f(0) = 0$. Then the value of $\int_0^2 f(x) dx + f'(2) + f''(2)$ is :
Updated On: Apr 6, 2026
- $\frac{14}{9}$
- $\frac{14}{11}$
- $\frac{11}{14}$
- $\frac{9}{14}$
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The Correct Option is A
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