MyGoalPrep LogoMyGoalPrep.com

Jee Main 2025 — Medium JEE math MCQ

Let \( f(x) = \int_0^1 (t^2 - 9t + 20)\,dt, \quad 1 \leq x \leq 5. \) If the range of \( f \) is \([\alpha, \beta]\), then \( 4(\alpha + \beta) \) equals
  1. A. 253
  2. B. 154
  3. C. 125
  4. D. 157

Solution

The correct option is **D**. (D. 157)

MATH

medium • PYQ Reworded
Question
Read carefully, then pick the best option.
Let f(x)=∫01(t2−9t+20) dt,1≤x≤5. f(x) = \int_0^1 (t^2 - 9t + 20)\,dt, \quad 1 \leq x \leq 5. If the range of f f is [α,β][\alpha, \beta], then 4(α+β) 4(\alpha + \beta) equals
AI hints
Ask for a nudge. Keep it specific.
Jee Main 2025 — Medium JEE Mathematics MCQ | MyGoalPrep