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Integration: standard results flashcards

12 cards drawn from 6 lessons: 7 standard results, 3 recall prompts, 1 check-yourself question and 1 spot-the-error card. The integrals to produce on sight, constant of integration included. Rate each answer to set a shorter or longer interval before the card is due again.

Years 12-13 · all 271 maths cards

How the five kinds differ

Standard results ask for a formula or value that may need to be recalled. Definitions ask for a mathematical term to be stated precisely. Recall prompts ask for a rule, condition or method. Check yourself cards contain a short question and answer. Spot the error cards ask you to correct an inaccurate claim.

Every card in this deck

Click any card to try it in the player above; the card itself links the lesson that teaches it.

• Power rule (n ≠ −1)Result
• The n = −1 caseResult
• Exponential (k ≠ 0)Result
• Sine (x in radians)Result
• Cosine (x in radians)Result
• Log integralResult
• State how to choose u when integrating by partsRecall
• State what to do when part of an area lies below the x-axisRecall
• Find the integral of 6e3x with respect to x.Check
• Area under a parametric curveResult
• State how to solve a separable differential equationRecall
• The integral of sin x is cos x.Spot the error

The lessons these cards come from

• Areas, parametric curves and the limit of a sum
• Definite integrals and areas
• Integrating standard functions
• Integration as antidifferentiation
• Integration by substitution and by parts
• Solving differential equations

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