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Definite Integration question

2025 · 29 Jan · Shift 2 · Q41
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  5. /2025 · 29 Jan · Shift 2 · Q41

Definite Integration question

2025 · 29 Jan · Shift 2 · Q41

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1
Let f(x)=∫0xt(t2−9t+20)dt,1≤x≤5f(x)=\int\limits_0^x \mathrm{t}\left(\mathrm{t}^2-9 \mathrm{t}+20\right) \mathrm{dt}, 1 \leq x \leq 5f(x)=0∫x​t(t2−9t+20)dt,1≤x≤5. If the range of fff is [α,β][\alpha, \beta][α,β], then 4(α+β)4(\alpha+\beta)4(α+β) equals :
  1. A
    253
  2. B
    157
  3. C
    154
  4. D
    125
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