https://file.aiquickdraw.com/mathbot/file/17240499426882r8q9zco.jpg

The OCR extraction resulted in the expression: 

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

The integral is:

\[
\int \left( \cos(x) + x + \sin(x) \right) \, dx
\]

### Solution:

The integral can be solved by integrating each term separately:

1. \(\int \cos(x) \, dx = \sin(x)\)
2. \(\int x \, dx = \frac{x^2}{2}\)
3. \(\int \sin(x) \, dx = -\cos(x)\)

So, the final solution is:

\[
\sin(x) + \frac{x^2}{2} - \cos(x) + C
\]

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

Would you like more details or have any questions?

Here are five related questions for practice:

1. How do you solve an integral involving a product of trigonometric functions?
2. What is the integral of \( \cos^2(x) \) with respect to \( x \)?
3. How do you evaluate a definite integral over a specific interval?
4. What methods are used for integrating by parts?
5. How can substitution simplify solving integrals involving composite functions?

**Tip:** When solving integrals, break down the expression into simpler parts and integrate term by term whenever possible.

Learn how to solve the integral of cos(x) + x + sin(x) step-by-step. This problem involves integrating trigonometric functions and polynomials, with detailed formulas and methods explained. Suitable for students in Grades 11-12.

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