Matematika

Pertanyaan

intergalx(x²-3x+4)dx

2 Jawaban

  • =integral x pangkat 3dx - 3x pangkat 2dx + 4dx
    =1/4x pangkat 4 - 3/3x pangkat 3 + 4x + c
    =1/4x^4 - x^3 + 4x + c
  • integral parsial:
    turunan: x => 1 => 0
    integral: x²-3x+4 => (1/3)x³-(3/2)x²+4x => (1/12)x⁴-(1/2)x³+2x²
    = x((1/3)x³-(3/2)x²+4x)-((1/12)x⁴-(1/2)x³+2x²)+C
    =(1/3)x⁴-(3/2)x³+4x²-(1/2)x⁴+(1/2)x³-2x²+C
    =-(1/6)x⁴-x³+2x²+C

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