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If f(x)=min(|x|,1-|x|,1/4)AAx in R , th...

If `f(x)=min(|x|,1-|x|,1/4)AAx in R ,` then find the value of `int_(-1)^1f(x)dxdot`

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`f(x)=min(|x|,1-|x|,1/4)`

Now, from the figure,
`int_(-1)^(1)f(x)dx=2` (Area of trapezium OABC)
`=2(1/2(1 + 1/2)1/4)=3/8`
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