Matematika

Pertanyaan

hasil integral 2x(3x-2)^3 dx=

1 Jawaban

  • 2x(3x-2)^3 = 2x[(3x-2)(3x-2)(3x-2)]
    = 2x[(6x^2-6x-6x+4)(3x-2)]
    = 2x[(6x^2-12x+4)(3x-2)]
    = 2x(18x^3-12x^2-36x^2+24x-4)
    = 2x(18x^3-48x^2+24x-4)
    = 36x^4-96x^3+48x^2-8x
    § x dx = x+c
    §2x(3x-2)^2 dx = 26x^4-96x^3+48x^2-8x+c

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