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

∫cos(x)dx

To find the integral of cos(x), we can use integration by substitution or simply remember the integral of cos(x) from our basic rules of integration

To find the integral of cos(x), we can use integration by substitution or simply remember the integral of cos(x) from our basic rules of integration.

Using integration by substitution:

Let u = sin(x). Then, du = cos(x)dx.

We can rewrite the integral as follows:

∫cos(x)dx = ∫du

Now, integrating ∫du, we simply get u + C, where C is the constant of integration.

∫cos(x)dx = sin(x) + C

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

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