## integral of cosx

### To find the integral of cos(x), we can use the basic integral rules for trigonometric functions

To find the integral of cos(x), we can use the basic integral rules for trigonometric functions. The integral of cos(x) is:

∫ cos(x) dx = sin(x) + C

Where C is the constant of integration.

This result can be derived using the trigonometric identity: d/dx (sin(x)) = cos(x). In other words, the derivative of sin(x) with respect to x is equal to cos(x). Applying this relationship in reverse, we can find the integral of cos(x) to be sin(x).

By adding the constant of integration (denoted as C), we account for all possible solutions. The constant represents the family of curves that have the same derivative, in this case, sin(x).

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

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