Question

The area bounded by \( f(x) = x^2, 0 \leq x \leq 1 \), and \( g(x) = x + 2, 1 \leq x \leq 2 \) and x-axis is

• A. \( \frac{3}{2} \)
• B. \( 2 \)
• C. \( 8 \)
• D. None of these

Hint:

For finding the area between curves, integrate the difference between the functions over the given intervals.

Answer 1

The Correct Option is B

To find the area, integrate the given functions over the respective intervals.
Final Answer: \[ \boxed{2} \]