Question:
Find the area bounded by the curves \( y = 2x \) and \( y = x^2 \):
Find the area bounded by the curves \( y = 2x \) and \( y = x^2 \):
Show Hint
When calculating the area between curves, always subtract the lower function from the upper one.
Updated On: Apr 7, 2026
- \( \frac{2}{3} \)
- \( \frac{1}{3} \)
- \( \frac{4}{3} \)
- \( 3 \)
- \( 2 \)
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The Correct Option is C
Solution and Explanation
The area between the curves is given by:
\[
A = \int_{0}^{2} (2x - x^2) \, dx
\]
Evaluating the integral:
\[
A = \left[ x^2 - \frac{x^3}{3} \right]_{0}^{2} = \frac{4}{3}
\]
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