∫ 2 4 { | x − 2 | + | x − 3 | } d x =

Question

∫ 2 4 { | x − 2 | + | x − 3 | } d x =, 1, 2, 3, 4

MARKS App · Accepted Answer

Given that ∫ 2 4 { | x − 2 | + | x − 3 | } d x If x > 2 ⇒ x - 2 = x - 2 . If 2 x 3 ⇒ x - 3 = 3 - x & 3 x 4 ⇒ x - 3 = x - 3 = ∫ 2 4 x - 2 d x + ∫ 2 3 3 - x d x + ∫ 3 4 x - 3 d x = x 2 2 - 2 x 2 4 + 3 x - x 2 2 2 3 + x 2 2 - 3 x 3 4 = 2 - 1 2 + 1 2 = 3

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