If f(x) is an even function, what does ∫[-a to a] f(x) dx visually represent compared to ∫[0 to a] f(x) dx?

If f(x) is an even function, what does ∫[-a to a] f(x) dx visually represent compared to ∫[0 to a] f(x) dx?

• A. It is half the area
• B. It is exactly the same area
• C. It is double the area
• D. It represents zero area

Answer: C) It is double the area

Explanation: An even function is symmetric about the y-axis, meaning the area from -a to 0 equals the area from 0 to a. Thus, the total area from -a to a is double the area from 0 to a.