## integral of sinx

### The integral of sin(x) is expressed as ∫ sin(x)dx

The integral of sin(x) is expressed as ∫ sin(x)dx.

To solve this integral, we can use integration by parts or refer to the integral table. However, the integral of sin(x) is a commonly known result and has a straightforward solution.

The integral of sin(x) is equal to -cos(x) + C, where C is the constant of integration. Here, the negative sign appears because the derivative of -cos(x) is sin(x).

Therefore, ∫ sin(x)dx = -cos(x) + C.

You can verify this result by taking the derivative of -cos(x) + C and confirming that it equals sin(x).

Please note that in some cases, the integral might have additional terms or require a more advanced method to solve. However, for the integral of sin(x), the solution is simply -cos(x) + C.

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