NDA 2025 · PYQ · Definite integral / Area · easy
What is the area bounded by the curve, the x-axis and the line x = 4?
- A.8 square units
- B.16 square units
- C.32 square units✓ Correct
- D.64 square units
The curve from the previous problem is y = 4x. The area bounded by y = 4x, the x-axis, and x = 4 is ∫₀⁴ 4x dx = [2x²]₀⁴ = 2(16) = 32 square units.
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