分からない問題はここに書いてね３１８
>>557
∫[0,2] x|x-2| dx = ∫[0,2] x(2-x)dx = [ x^2 - (1/3)x^3 ](x=0,2) = 4/3,
∫[2,4] x|x-2| dx = ∫[2,4] x(x-2)dx = [ (1/3)x^3 - x^2 ](x=2,4) = 20/3,
辺々たして
∫[0,4] x|x-2| dx = 8,
∫[0,2] x|x-2| dx = ∫[0,2] x(2-x)dx = [ x^2 - (1/3)x^3 ](x=0,2) = 4/3,
∫[2,4] x|x-2| dx = ∫[2,4] x(x-2)dx = [ (1/3)x^3 - x^2 ](x=2,4) = 20/3,
辺々たして
∫[0,4] x|x-2| dx = 8,
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