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# Antiderivative question?

Find f(t) of

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

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

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- NozarLv 68 years agoFavorite 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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