Matematika

Pertanyaan

Yang jago matematika minta tolong bgt dong caranya bsk dikumpulin semoga dapet pahala aminn
Yang jago matematika minta tolong bgt dong caranya bsk dikumpulin semoga dapet pahala aminn

1 Jawaban

  • integral x / (x^2 - 2)^2/3 dx
    = integral x (x^2-2)^-2/3 dx
    misal u = x^2 -2
    du/dx = 2x
    dx = du/2x. maka
    integral x (u)^-2/3 du/2x
    = integral u^-2/3 du/2
    = 1/2.u^(-2/3+1)/(-2/3+1)+ c
    = 1/2.(u^1/3)/(1/3) + c
    = 3/2(u^1/3) + c
    = 3/2 (x^2-2)^1/3 + c. Jadi jawabannya B)