March 28, 2017

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U substitution on indefinite integral/antiderivative.

(t^3+4)^-2 t^2

On this should I use u on the parenthesis and should I put this into a natural log?

  • Calculus - ,

    if you let
    u = t^3+4 then
    du = 3t^2 dt

    Now your integrand becomes

    u^-2 (du/3) = 1/3 u^-2 du

    that should be a cinch.

  • Calculus - ,

    Yes, had just finished getting it! Thanks!

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