Antiderivative question?

Find f(t) of

f double prime (t) = 3e^t + 4sint , f(0)=0 and f(pi)=0

Thanks!!!!!!!!!!!!

1 Answer

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  • Nozar
    Lv 6
    8 years ago
    Favorite Answer

    f "=3e^t +4sint

    f '=3e^t -4cost +C

    f=3e^t -4sint +Ct

    0=3+C(0) not logical

    3e^pi -4sinpi+C(pi)=0

    69.422-0+3.14C=0

    C=-22.09

    f(t)=3e^t-4sint-22.09

    God bless you.

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