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# Integrals

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Accumulation of changeGet 3 of 4 questions to level up!

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Left & right Riemann sumsGet 3 of 4 questions to level up!

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Over- and under-estimation of Riemann sumsGet 3 of 4 questions to level up!

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Midpoint & trapezoidal sumsGet 3 of 4 questions to level up!

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Summation notationGet 3 of 4 questions to level up!

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Riemann sums in summation notationGet 3 of 4 questions to level up!

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Definite integral as the limit of a Riemann sumGet 3 of 4 questions to level up!

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Functions defined by definite integrals (accumulation functions)Get 3 of 4 questions to level up!

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Finding derivative with fundamental theorem of calculusGet 3 of 4 questions to level up!

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Finding derivative with fundamental theorem of calculus: chain ruleGet 3 of 4 questions to level up!

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Finding definite integrals using area formulasGet 3 of 4 questions to level up!

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Finding definite integrals using algebraic propertiesGet 3 of 4 questions to level up!

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Definite integrals over adjacent intervalsGet 3 of 4 questions to level up!

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The fundamental theorem of calculus and definite integralsGet 3 of 4 questions to level up!

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Antiderivatives and indefinite integralsGet 3 of 4 questions to level up!

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Reverse power ruleGet 3 of 4 questions to level up!

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Reverse power rule: negative and fractional powersGet 3 of 4 questions to level up!

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Reverse power rule: sums & multiplesGet 3 of 4 questions to level up!

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Reverse power rule: rewriting before integratingGet 3 of 4 questions to level up!

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Indefinite integrals: eˣ & 1/xGet 3 of 4 questions to level up!

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Indefinite integrals: sin & cosGet 3 of 4 questions to level up!

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Integrating trig functionsGet 5 of 7 questions to level up!

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Definite integrals: reverse power ruleGet 3 of 4 questions to level up!

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Definite integrals: common functionsGet 3 of 4 questions to level up!

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Definite integrals of piecewise functionsGet 3 of 4 questions to level up!

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𝘶-substitution: defining 𝘶Get 3 of 4 questions to level up!

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𝘶-substitution: indefinite integralsGet 3 of 4 questions to level up!

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𝘶-substitution: definite integralsGet 3 of 4 questions to level up!

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Integration using long divisionGet 3 of 4 questions to level up!

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Integration using completing the squareGet 3 of 4 questions to level up!

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Integration using trigonometric identitiesGet 3 of 4 questions to level up!

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Trigonometric substitutionGet 3 of 4 questions to level up!

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Integration by partsGet 3 of 4 questions to level up!

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Integration by parts: definite integralsGet 3 of 4 questions to level up!

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Integration with partial fractionsGet 3 of 4 questions to level up!

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Improper integralsGet 3 of 4 questions to level up!

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Level up on all the skills in this unit and collect up to 3700 Mastery points!