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calculus

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Antiderivative problem! Given f'(x)=3cosx–11sinx and f(0)=–2,find f(x)=

  • calculus - ,

    f(x) = 3 sin x + 11 cos x + c
    f(0) = -2 = 3 (0) + 11 (1) + c
    so c = -13
    f(x) = 3 sin x + 11 cos x - 13

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