Let f : [0, 2] R be a function which is continuous on [0, …

Maths JEE - Advanced Previous Year Paper JEE-Advanced-2014-Paper-2 Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 13, 2026

Let f : [0, 2] R be a function which is continuous on [0, 2] and is differentiable on (0, 2) with f(0) = 1.

Let for x [0, 2]. If F ’ (x) = f ’ (x) for all x (0, 2), then F(2) equals

e 2 - 1

e 4 – 1

e-1

e 4

Text Solution

Verified by Experts

The correct answer is:

F(0) = 0

F ’ (x) = 2x f(x) = f ’ (x)

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