Let fprime(x)=2+sin4πx192x3forallx∈Rwithf(21)=0.Ifm≤∫211f(x)dx≤M, then the possible values of mandM are (a)m=13,M=24 (b) m=41,M=21(c)m=−11,M=0 (d) m=1,M=12

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Let {{f}^{{{p}{r}{i}{m}{e}}}{({x})}}={{{192}{x}^{{3}}}}{{{2}+{

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Let $f^{p r i m e} (x) = \frac{192 x ^{3}}{2 + sin ^{4} π x} f or a l l x \in R w i t h f (\frac{1}{2}) = 0 . I f m \leq \int_{\frac{1}{2}}^{1} f (x) d x \leq M,$ then the possible values of $m a n d M$ are (a) $m = 13, M = 24$ (b) $m = \frac{1}{4}, M = \frac{1}{2}$ (c) $m = - 11, M = 0$ (d) $m = 1, M = 12$

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Elijah Discussed

Let

f^{p r i m e} (x) = \frac{192 x ^{3}}{2 + sin ^{4} π x} f or a l l x \in R w i t h f (\frac{1}{2}) = 0 . I f m \leq \int_{\frac{1}{2}}^{1} f (x) d x \leq M,

then the possible values of

m a n d M

are (a)

m = 13, M = 24

(b)

m = \frac{1}{4}, M = \frac{1}{2}

(c)

m = - 11, M = 0

(d)

m = 1, M = 12

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Question Text	Let $f^{p r i m e} (x) = \frac{192 x ^{3}}{2 + sin ^{4} π x} f or a l l x \in R w i t h f (\frac{1}{2}) = 0 . I f m \leq \int_{\frac{1}{2}}^{1} f (x) d x \leq M,$ then the possible values of $m a n d M$ are (a) $m = 13, M = 24$ (b) $m = \frac{1}{4}, M = \frac{1}{2}$ (c) $m = - 11, M = 0$ (d) $m = 1, M = 12$
Answer Type	Video solution: 1
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