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If the definite integral between [0,x] of f(t)dt=e^(3x)cos(x)+c, what is the value of c?
 9 months ago
 9 months ago
If the definite integral between [0,x] of f(t)dt=e^(3x)cos(x)+c, what is the value of c?
 9 months ago
 9 months ago

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xkrromaniaBest ResponseYou've already chosen the best response.0
If f(t)dt=e^(3x)cos(x)0 to x then using the Fundamental Theorem of calculus you get f(t)dt=[e^(3x)cos(x)+c][e^(0)*cos(0)+c]=e^3x*cos(x)1+(cc)=e^3x*cos(x)1. The definite integral doesn't have a constant simply because the c cancels when you subtract.
 9 months ago

Ahmad1Best ResponseYou've already chosen the best response.0
I think you can simply find the answer by setting x=0 , you will find c=1
 8 months ago
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