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MathsJEE Main 5 Apr 2026, Shift 2·Q19·MCQ·Moderate

Differential Equations · Linear differential equations

Let f:[1,∞)→Rf : [1, \infty) \to \mathbb{R} be a differentiable function defined as f(x)=∫1xf(t) dt+(1−x)(log⁡ex−1)+e.f(x) = \int_1^x f(t)\,dt + (1 - x)(\log_e x - 1) + e. Then the value of f(f(1))f(f(1)) is:
  1. (1)(1+ee)(1 + e^{e})
  2. (2)(1+e)(1 + e)
  3. (3)(1+e+ee)(1 + e + e^{e})
  4. (4)1+2e1 + 2e
We corrected a printing error in the original paper

Source printed “Then the value fo f(f(1))f(f(1))”.

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