Integral with Differentiable Function (Jee Mains) | ExamDuo
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Definite Integration Properties
Hard
Integral with Differentiable Function
Let
f
(x) be a differentiable function defined on [0 , 2], such that
f'
(2 – x), for all x ϵ (0 , 2),
f
(0) = 1 and
f
(2) = e
2
. Then, the value of
∫
2
0
f
(x) dx is
SELECT ONE OPTION
A
1 – e²
B
1 + e²
C
2(1 – e²)
D
2(1 + e²)
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