∫ sin(x) dx
To find the integral of sin(x) with respect to x, we can use the basic trigonometric identity:
∫ sin(x) dx = -cos(x) + C
where C is the constant of integration
To find the integral of sin(x) with respect to x, we can use the basic trigonometric identity:
∫ sin(x) dx = -cos(x) + C
where C is the constant of integration.
The integral of sin(x) results in the negative of the cosine function, plus a constant. This is because the derivative of cos(x) is -sin(x), and when we integrate -sin(x), we get -cos(x).
Therefore, the antiderivative of sin(x) is -cos(x), and the integral of sin(x) with respect to x is:
∫ sin(x) dx = -cos(x) + C
where C is the constant of integration.
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