The integral ∫_{-1}^{1} x³ dx equals:
A$2/4 = 0.5$ (using power rule alone)
B$0$ (odd function, symmetric limits)
C$1$ (computing only the upper limit)
D$2$ (full range, doubled value)
Answer & Solution
Correct answer: B. $0$ (odd function, symmetric limits)
x³ is an ODD function (f(-x) = -f(x)). For an odd function over symmetric limits [-a, a], the integral is 0. The areas above x-axis (0 to 1) and below (-1 to 0) cancel.
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