The integral of \( \sin(x) \) with respect to \( x \) is a standard result in calculus. To compute it, we use basic integration rules.

\[
\int \sin(x) \, dx = -\cos(x) + C
\]

where \( C \) is the constant of integration.

Would you like more details or have any questions?

Here are 5 related questions to deepen your understanding:

1. How do you integrate \( \cos(x) \)?
2. What is the integral of \( \sin(kx) \) where \( k \) is a constant?
3. How do you differentiate \( \sin(x) \)?
4. Can you solve \( \int \sin^2(x) \, dx \)?
5. How does the constant of integration, \( C \), affect the final solution?

**Tip**: Always remember that the constant of integration is crucial when solving indefinite integrals.

Discover how to compute the indefinite integral of sin(x) with respect to x, using standard calculus techniques. This problem involves key concepts in trigonometry and integration, and is suitable for students in Grades 11-12. The solution also highlights the importance of the constant of integration.

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