allery∫₋ₐ^a x³ dx equals (for any a):
Aa⁴
B0 (odd function over symmetric interval)
Ca⁴/2
D2a⁴
Answer & Solution
Correct answer: B. 0 (odd function over symmetric interval)
x³ is an ODD function.
Integral over symmetric interval [-a, a] of any odd function is 0. (Areas above and below x-axis cancel.)
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