The Integral of Cos(x) Explained: A Step-by-Step Guide to Finding the Antiderivative of Cos(x)

∫cos(x)dx

To find the integral of cos(x) with respect to x, we can use the trigonometric identity:

∫cos(x)dx = sin(x) + C

where C is the constant of integration

To find the integral of cos(x) with respect to x, we can use the trigonometric identity:

∫cos(x)dx = sin(x) + C

where C is the constant of integration.

This identity comes from the fact that the derivative of sin(x) with respect to x is cos(x), according to the chain rule of differentiation.
So, the integral of cos(x) is the antiderivative of the function, which is sin(x).

Therefore, the integral of cos(x)dx is sin(x) + C, where C is the constant of integration.

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