defence exam Agniveer Vayu Group X & XY Mock Test 01/2026 Mathematics Differential Calculus Applications of Derivatives
Let f(x) be a differentiable function defined on [0,2] such that f’(x) =f ‘(2 – x) for all x∈(0, 2), f(0) = 1 and f(2) = e2. Then the value of \(\int_0^2 f(x) d x\) is:
1
1 + e2
2
1 – e2
3
2(1 – e2)
4
2(1 + e2)