JEE Mains · Maths · STD 12 - 7.2 definite integral
Let \(f(x)=\int_0^t t\left(t^2-9 t+20\right) d t, 1 \leq x \leq 5\). If the range of \(f\) is \([\alpha, \beta]\), then \(4(\alpha+\beta)\) equals :
- A 253
- B 154
- C 125
- D 157
Answer & Solution
Correct Answer
(D) 157
Step-by-step Solution
Detailed explanation
\(f^{\prime}(x)=x\left(x^2-9 x+20\right), x \in(1,5)\) \(=(x-4) x(x-5)\)…
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