Let F : [3, 5] R be a twice differentiable function on (3, 5) such that F(X)=e^ -X _3^x(3t^2+2t+4F'(t))dt. If...

Question

Let F : [3, 5] R be a twice differentiable function on (3, 5) such that F(X)=e^ -X _3^x(3t^2+2t+4F'(t))dt. If F'(4)= e^ -224 (e^ -4)^2 , then + is equal to _____.

Accepted Answer

16

JEE Main 2021 Mathematics question

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