∫(0到3)丨x^2-4丨dx等于

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∫(0到3)丨x^2-4丨dx等于∫(0到3)丨x^2-4丨dx等于∫(0到3)丨x^2-4丨dx等于∫(0,3)丨x^2-4丨dx=∫(0,2)(4-x²)dx+∫(2,3)(x²

∫(0到3)丨x^2-4丨dx等于
∫(0到3)丨x^2-4丨dx等于

∫(0到3)丨x^2-4丨dx等于
∫(0,3)丨x^2-4丨dx
=∫(0,2)(4-x²)dx+∫(2,3)(x²-4)dx
=4x-1/3 x³|(0,2)+1/3 x³-4x|(2,3)
=8-8/3+9-12-8/3+8
=23/3

∫[0,3]丨x^2-4丨dx
=∫[0,2](4-x^2)dx+∫[2,3](x^2-4)dx
=(4x-x^3/3)[0,2]+(x^3/3-4x)[2,3]
=2*16/3+9-12
=23/3