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Find the Antiderivative f(x)=sin(x)

Problem

(∫_^)(sin(x)*d(x))

Solution

  1. Identify the standard integral for the sine function.

  2. Apply the rule for the antiderivative of sin(x) which is −cos(x)

  3. Add the constant of integration C to represent the family of all possible antiderivatives.

Final Answer

(∫_^)(sin(x)*d(x))=−cos(x)+C


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