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JEE MAIN 2025
28-01-2025 SHIFT-2
Question
Let $\mathrm{f}: \mathbf{R} \rightarrow \mathbf{R}$ be a twice differentiable function such that $f(2)=1$. If $\mathrm{F}(x)=x f(x)$ for all $x \in \mathbf{R}$, $\int_{0}^{2} x \mathrm{~F}^{\prime}(x) \mathrm{d} x=6$ and $\int_{0}^{2} x^{2} \mathrm{~F}^{\prime \prime}(x) \mathrm{d} x=40$, then $\mathrm{F}^{\prime}(2)+\int_{0}^{2} \mathrm{~F}(x) \mathrm{d} x$ is equal to :
Select the correct option:
A
9
B
11
C
15
D
13
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
Solution
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Question Tags
JEE Main
Mathematics
Easy
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