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(A) Draw a Direction Field for the Function f(x)=sin⁡xf ( x ) = \sin x

Question 2

Essay

(a) Draw a direction field for the function f(x)=sin⁡xf ( x ) = \sin x . Use this direction field to sketch several members of the family of antiderivatives.(b) Compute the general antiderivative for f(x)=sin⁡xf ( x ) = \sin x explicitly and sketch several specific antiderivatives. Compare these results with your sketches from part (a).

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