The image you uploaded appears to be a screenshot of an online math problem. The problem statement is not fully visible, but I can make out an expression:

$\text{Evaluate } \int_{0}^{1} x \cos \left(\frac{\pi x^2}{2}\right) \, dx$

Would you like me to solve this integral or provide a detailed explanation of the solution? Let me know if there's anything specific you need!

Here are some related questions:

1. How do you determine the method to solve a given integral?
2. What are some common techniques for evaluating definite integrals?
3. Can substitution be used to solve the integral mentioned above?
4. What are some properties of the cosine function that might be useful here?
5. How do you handle integrals involving trigonometric functions?

Tip: Always check the limits of integration to see if the function simplifies at certain points, which can make solving the integral easier.