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Easy: Polynomials
Integration reverses differentiation. The power rule for integrals: the integral of xⁿ is xⁿ⁺¹ ÷ (n + 1), for any n except −1. Raise the exponent by one, then divide by the new exponent. Integrate a sum term by term, keep constants in front, and always add + C, since every constant has derivative 0.
Find the indefinite integral.
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Many functions have the same derivative, differing only by a constant: x² + 1 and x² − 5 both have derivative 2x. + C stands for all of them.
With n = −1 the formula would divide by 0. The antiderivative of 1/x is ln|x| + C instead.
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