Basic Integration Rules

Business Calculus · Axiom Academy

LESSON Basic Integration Rules The fundamental rules for finding antiderivatives The Essential Integration Rules Sum/Difference Rule: Integrate term by term Constant Multiple Rule: Constants factor out These properties let you break complex integrals into simpler pieces: The power rule is the workhorse of integration. It works for any power except n = -1: General exponential rule (note the 1/k factor) When we differentiate e^ kx , the chain rule brings down a factor of k: So integrating must include 1/k to cancel it out. Test Yourself - Match the Pattern Rewrite in standard form (e.g., = x^ 1/2 ) Break into separate terms using sum/difference rule Apply the appropriate rule to each term

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