Question

The area bounded by the curve \(y = x^2\), the x-axis and the lines \(x = 1\) and \(x = 2\) is:

• A. \(7/3\)
• B. \(8/3\)
• C. \(5/3\)
• D. \(2/3\)

Hint:

Area under curve = definite integral.

Answer 1

The Correct Option is A

\[ \text{Area}=\int_1^2 x^2\,dx=\left[\frac{x^3}{3}\right]_1^2=\frac{7}{3} \]