Let F : [3, 5] → R be a twice differentiable function on (3…

Maths Definite Integral and Area Under Curves JEE Main 2021 - ( Definite Integration ) Numeric Response

Published by: CGP EDU Academic Team

Published on: August 11, 2026

Let F : [3, 5] → R be a twice differentiable function on (3, 5) such that

If then is equal to

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The correct answer is:

(16)

F(3) = 0

e x F(x) + e x F′(x) = 3x 2 + 2x + 4 F′(x)

Put x = 3 ⇒ c = −36

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