Given equation |x^2 - 5x + 4 + sinx| = |x^2 -5x + 4| + |sinx|, where 0 ≤ x ≤ 2π then find sum of all integral values

Question 1

Given equation |x2 - 5x + 4 + sinx| = |x2 -5x + 4| + |sinx|, where 0 ≤ x ≤ 2π then find sum of all integral values present in complete solution set of given equation.

Question 2

|a + b| = |a| + |b|

Given equation |x^2 - 5x + 4 + sinx| = |x^2 -5x + 4| + |sinx|, where 0 ≤ x ≤ 2π then find sum of all integral values

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Given equation |x^2 - 5x + 4 + sinx| = |x^2 -5x + 4| + |sinx|, where 0 ≤ x ≤ 2π then find sum of all integral values

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