**The antiderivative of sin(x) is equal to the negative cosine of x, plus a constant.** The antiderivative is also known as the integral. Using mathematical notation, it is expressed as the integral of sin(x) dx = -cos(x) + c, where c is equal to a constant.

The integral of sin(x) is found by using the integration techniques known as integration by parts or substitution. Integration by substitution is also known as using the chain rule for derivatives in the reverse. The value for the integral of sin(x) is found by directly plugging it into a graphing calculator or plugging in the value of x to the equation -cos(x) + c.