The Integral of sin(x): A Step-by-Step Guide to Finding the Antiderivative of the Sine Function

int sinx

The expression “int sinx” typically represents the integral of the sine function with respect to x

The expression “int sinx” typically represents the integral of the sine function with respect to x. To find the integral of sin(x), you can use integration techniques.

The integral of sin(x) can be found using the power rule for integration. The power rule states that the integral of x^n with respect to x is (x^(n+1))/(n+1), where n is a constant.

The integral of sin(x) can be written as ∫sin(x) dx. Applying the power rule, we can find the integral as follows:

∫sin(x) dx = -cos(x) + C,

where C is the constant of integration.

Here, -cos(x) represents the antiderivative of sin(x), which means that if you differentiate -cos(x) with respect to x, you will get sin(x).

So, the integral of sin(x) is -cos(x) + C, where C represents an arbitrary constant.

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