The Integral of sin(x) | Easy Guide and Examples for Calculating the Antiderivative

int sinx

The term “int sinx” is not a specific mathematical expression or question

The term “int sinx” is not a specific mathematical expression or question. However, I assume you are asking about integrating the function sin(x), which represents the sine of x.

To integrate the sine function, you can use basic integration rules. The integral of sin(x) can be found as follows:

∫ sin(x) dx = -cos(x) + C

where C is the constant of integration. In this equation, -cos(x) represents the antiderivative of the sine function.

It’s important to note that this integral represents the indefinite integral or antiderivative of sin(x), meaning it does not have any specific limits and represents a family of functions.

If you have specific limits for integration, you can evaluate the definite integral using these limits. For example, if you want to find the integral of sin(x) from 0 to π, you would use the following equation:

∫[0 to π] sin(x) dx = [-cos(x)] evaluated from 0 to π = -cos(π) – (-cos(0)) = -(-1) – (-1) = 2

In this case, the definite integral represents the area under the curve of the sine function from 0 to π.

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