Evaluate `int_(1)^(4)f(x)dx`, where `f(x)={{:(4x+3,'if' 1 le x le 2),(3x+5,'if' 2 le x le 4.):}`

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Evaluate `int_(1)^(4)f(x)dx`, where `f(x)={{:(4x+3,"if" 1 le x le 2),(3x+5,"if" 2 le x le 4.):}`
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