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Integrals

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Question

What is the formula for the indefinite integral of xnx^n?

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Answer

∫xndx=xn+1n+1+C,n≠−1\int x^n dx = \frac{x^{n+1}}{n+1} + C, \quad n \neq -1 This is the power rule for integration. C is the constant of integration.

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