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Question

The range of the functions f(x)=x1|t|dt,xϵ[12,12] is

A
[38,58]
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B
[58,38]
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C
[38,58]
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D
[58,38]
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Solution

The correct option is D [58,38]
If 0x12f(x)=x1tdt=x212
If -12x0f(x)=01tdtx0tdt=(x2+12)f1(x)>0xϵ[12,12]
Range of f(x) is [f(12),f(12)][58,38]

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