1. Find $\int x^2 \, dx$. 2. Evaluate $\int e^x \, dx$. 3. Calculate $\int \sin x \, dx$. 4. Determine $\int \frac{1}{x} \, dx$. 5. Find $\int (3x^3 - 2x + 1) \, dx$. 6. Solve $\int \cos 2x \, dx$. 7. Evaluate $\int x e^x \, dx$ using integration by parts. 8. Calculate $\int \frac{1}{\sqrt{1-x^2}} \, dx$. 9. Determine $\int \tan x \, dx$. 10. Find $\int x^2 \sin x \, dx$ using integration by parts. These example questions cover basic to intermediate techniques in integration including power rule, exponential, trigonometric integrals, logarithmic integrals, polynomial integrals, and methods like integration by parts.