math

Find a substitution w and constants k,n so that the integral x^2sqrt(1-4x^3)dx has the form ∫kw^n dw .

asked by Carl
  1. let w = 1-4x^3
    then dw = -12x^2 dx
    That is, x^2 dx = -1/12 dw

    Then ∫x^2 √(1-4x^3) dx = ∫ -1/12 w^(1/2) dw

    posted by Steve

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