The area bounded by the curve y = x³, the x-axis and the ordinates x = −2 and x = 1 is:

The area bounded by the curve y = x³, the x-axis and the ordinates x = −2 and x = 1 is:

• A. 17/4 sq units
• B. 15/4 sq units
• C. 4 sq units
• D. 16/4 sq units

Answer: A) 17/4 sq units

Explanation: Area = ∫[−2 to 0] |x³| dx + ∫[0 to 1] x³ dx = ∫[−2 to 0] (−x³) dx + ∫[0 to 1] x³ dx = [−x⁴/4]₋₂⁰ + [x⁴/4]₀¹ = (0 − (−16/4)) + (1/4 − 0) = 4 + 1/4 = 17/4 sq units.