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Math Help - Antiderivatives

  1. #1
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    Antiderivatives

    Find the following.
    ∫ (v^2 - e^(3v)) dv.
    I did
    ∫(V^2-e^(3v)) dv
    ∫(v^2)dv - I (e^(3v) )dv
    ∫(v^3)/3- (e^(3v))/3
    ∫(v^3-e^(3v))/3
    Did I do it right?
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  2. #2
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    Quote Originally Posted by rowdy3 View Post
    Find the following.
    ∫ (v^2 - e^(3v)) dv.
    I did
    ∫(V^2-e^(3v)) dv
    ∫(v^2)dv - I (e^(3v) )dv
    ∫(v^3)/3- (e^(3v))/3
    ∫(v^3-e^(3v))/3
    Did I do it right?
    Lose the integral sign on your last two lines and add +C
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  3. #3
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    ∫(v^2-e^(3v)) dv
    = ∫(v^2)dv - ∫ (e^(3v) )dv
    = (v^3)/3- (e^(3v))/3 + C

    This could also be written as
    (1/3)v3 - (1/3)e3v + C
    or as (1/3)(v3 - e3v) + C
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