The answer here depends on what you consider proof and what you assume you have proved previously.
Since you know that the derivative of xn+1/(n+1) is xn,, the Fundamental Theorem of Integral Calculus proves that ∫xn dx is xn+1/(n+1).
Henry D.
asked • 09/21/21What is proof of the power for integration?
What is proof of the power rule for integration?
What is the derivation of the power rule for integration?
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