cosx dx
The integral of cos(x) with respect to x can be determined by using the integration rules for trigonometric functions
The integral of cos(x) with respect to x can be determined by using the integration rules for trigonometric functions.
The integral of cos(x) is given by the formula:
∫ cos(x) dx = sin(x) + C
where C is the constant of integration.
To understand this result, let’s go through the steps of how this integral is evaluated:
1. We start with the integral of cos(x) dx.
2. We recognize that the derivative of sin(x) with respect to x is cos(x). This relationship between the cosine and sine functions is a fundamental property of trigonometry.
3. Using this relationship, we rewrite the integral as ∫d(sin(x)), where d represents the derivative.
4. Applying the integration rule for the derivative of a function, we obtain sin(x) + C, where C represents the constant of integration.
5. Finally, we conclude that the integral of cos(x) dx is sin(x) + C, where C is an arbitrary constant.
So, the final result of integrating cos(x) with respect to x is sin(x) + C, where C represents the constant of integration.
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