Area Under a Parabola by Integration
Easyintegrationarea under curve
The area between the curve y = x² and the x-axis from x = 0 to x = 3 is:
- A4.5
- B6
- C9
- D27
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Answer: C. 9
Equation: area A = ∫ from 0 to 3 of x² dx = [x³/3] from 0 to 3. Values: the limits 0 and 3 come from the shaded region. Step 1: antiderivative x³/3. Step 2: A = 27/3 − 0 = 9. 27 forgets to divide by 3; 6 is the slope 2x at x = 3; 4.5 is a triangle area.
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