I drew the graph for the three equations given[rough]
what does the min notation over here signify?
Ok thanks i get it now!!
so to find out the integral i need to find the area of the shaded region as shown below:
2026-04-07 17:36:01.1775583361
what is min here?
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This definition of $f$ says that for a given value of $x$ the value of $f$ is given by the smallest number among $|x|$,$1-|x|$ and $1/\alpha$ that is what $min$ means. Thus $f$ graph looks like a M. You can write a definition of $f$ piecewise. Then your integral is the sum of the areas of those two trapeses