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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