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Find the indefinite integral.
x^2(5 x^3 + 9)^3 dx

  • Math -

    I observed that the derivative of the inside of the bracket sits out front as a multiple of that.
    If that is the case, I just reverse by "thinking"

    if dy/dx = x^2(5x^3 + 9)^3

    y = (x^2/(15x^2)) (5x^3 +9)^4 * (1/4)+ c
    = (1/60) (5x^3 + 9)^4 + c

  • Math -

    Thanks Reiny for all your help, I really appreciate it.

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