Understanding the Integral of sin(x) and its Various Interpretations | Antiderivative, Definite Integral, and Integer Part.

int sinx

The term “int sinx” is not clear and may have different interpretations

The term “int sinx” is not clear and may have different interpretations.

If you are referring to the integral of sin(x), then the answer is:
∫ sin(x) dx = -cos(x) + C
Where C is the constant of integration. This is the antiderivative of sin(x), which represents the family of functions whose derivative is sin(x).

If you are referring to the integral between two limits, say a and b, then the answer is:
∫[a to b] sin(x) dx = -cos(b) + cos(a)

If you are referring to the integer part (or floor function) of sin(x), denoted as [sin(x)], then its value depends on the value of sin(x). The integer part or floor function returns the largest integer less than or equal to the given number. For example, [sin(0)] = [0] = 0 and [sin(1)] = [0.841] = 0.

If you have any further clarification or additional context, please provide more details so that I can give you a more accurate response.

More Answers:
Mastering Integration by Parts | A Step-by-Step Guide for Simplifying Complex Integrals
Understanding the Secant Function | Definition, Calculation, and Relationship with Cosine and Sine
Using Euler’s Method to Approximate Solutions of Ordinary Differential Equations (ODEs)

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