∫sin(x)dx
To solve the integral of sin(x), we can use the basic integration formula for trigonometric functions
To solve the integral of sin(x), we can use the basic integration formula for trigonometric functions.
The integral of sin(x) with respect to x is denoted as ∫sin(x)dx. Using the fundamental rule of calculus, which states that the integral of a continuous function is the antiderivative of that function, we can find the antiderivative of sin(x).
The antiderivative of sin(x) is -cos(x) + C, where C is the constant of integration. This means that the integral of sin(x) is equal to -cos(x) plus some constant.
So, ∫sin(x)dx = -cos(x) + C, where C is the constant of integration.
In summary, the integral of sin(x) with respect to x is -cos(x) + C, where C is the constant of integration.
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