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Let g(x)=1,0x<1x3,1x<4x,4x<9 then 09g(x)dx is

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a
243/12
b
93
c
929/12
d
none of these

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detailed solution

Correct option is C

∫09 g(x)dx=∫01 dx+∫14 x3dx+∫49 xdx=1+1444−1+2393/2−43/2=92912


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