Let f^ (x)= 192 x^ 3 2+ ^ 4 x for all x ∈ R with f ( 1 2 )=0 . If m _ 1 / 2 ^ 1 f(x) d x…
Mathematics · JEE Advanced · NTA Exams — Integral Calculus
Let \(f^{\prime}(x)=\frac{192 x^{3}}{2+\sin ^{4} \pi x}\) for all x ∈ R with \(f\left(\frac{1}{2}\right)=0 .\) If \(m \leq \int_{1 / 2}^{1} f(x) d x \leq M\) then the possible values of m and M are
- m = 13, M = 24
- m = –11, M = 0
- m = 1, M = 12
Answer
(C) m = –11, M = 0
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