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.