Integrate sin(x)
Understand the Problem
The question is asking for the integral of the sine function, sin(x). We will solve it by applying the rules of integral calculus to find the antiderivative.
Answer
-\cos(x) + C
Answer for screen readers
The integral of $\sin(x)$ is $-\cos(x) + C$
Steps to Solve
- Identify the integral to be solved
We need to find the integral of $\sin(x)$ with respect to $x$.
- Use the integral rule for sine
The integral of $\sin(x)$ is a standard integral. It is given by: $$\int \sin(x) , dx = -\cos(x) + C$$ where $C$ is the constant of integration.
- Write down the final result
Combine the result from the integral rule: $$\int \sin(x) , dx = -\cos(x) + C$$
The integral of $\sin(x)$ is $-\cos(x) + C$
More Information
When integrating trigonometric functions like sine, it is crucial to remember to include the constant of integration $C$.
Tips
A common mistake is forgetting the constant of integration ($C$) when solving indefinite integrals.
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