The formula involves the parameter

MATHEMATICS · Subjective · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

The formula ∫xn dx=xn+1n+1+C\displaystyle \int x^{n}\,dx=\frac{x^{n+1}}{n+1}+C involves the parameter nn. Explain in one sentence why this formula fails when n=−1n=-1, and write the correct antiderivative for that case.

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