Calculus Examples in Math Community

Here are some example problems in calculus that you might find helpful for your studies.

Example 1: Derivatives
- Find the derivative of ( f(x) = x^2 + 3x + 2 ).
- Solution: The derivative of ( f(x) ) is ( f'(x) = 2x + 3 ).
Example 2: Integrals
- Integrate ( \int (2x^3 + 4x^2 + x) dx ).
- Solution: The integral of ( 2x^3 + 4x^2 + x ) is ( \frac{1}{2}x^4 + \frac{4}{3}x^3 + \frac{1}{2}x^2 + C ).
Example 3: Limits
- Evaluate ( \lim_{x \to 2} \frac{x^2 - 4}{x - 2} ).
- Solution: The limit is ( \lim_{x \to 2} \frac{x^2 - 4}{x - 2} = 4 ).

For more detailed explanations and practice problems, check out our Calculus Study Guide.