∫(sinx)dx
To find the integral of sin(x), we can apply the fundamental theorem of calculus
To find the integral of sin(x), we can apply the fundamental theorem of calculus. The integral of sin(x) with respect to x can be evaluated as follows:
∫(sin(x))dx = -cos(x) + C
where C is the constant of integration.
The result, -cos(x) + C, represents the antiderivative of sin(x), meaning that if you were to take the derivative of -cos(x) + C with respect to x, you would obtain sin(x).
Remember that the constant of integration (C) can take any value, as adding a constant to the antiderivative does not change its derivative. So, the integral of sin(x) can be represented as -cos(x) + C, where C is any constant.
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