alleryThe integral ∫ x^n dx (for n ≠ -1) equals:
A$n x^{n-1} + C$ (derivative formula)
B$x^{n+1} + C$ (missing divisor)
C$x^n + C$ (no change)
D$x^{n+1} / (n+1) + C$ (power rule)
Answer & Solution
Correct answer: D. $x^{n+1} / (n+1) + C$ (power rule)
Power rule for integration: ∫x^n dx = x^(n+1)/(n+1) + C, valid for n ≠ -1. For n = -1, ∫(1/x)dx = ln|x| + C.
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