{"id":15990,"date":"2024-12-25T17:22:01","date_gmt":"2024-12-25T17:22:01","guid":{"rendered":"https:\/\/ibmaths.com\/?page_id=15990"},"modified":"2025-02-20T16:28:25","modified_gmt":"2025-02-20T15:28:25","slug":"hlaa7","status":"publish","type":"page","link":"https:\/\/ibmaths.com\/ibaahl\/hlaa7\/","title":{"rendered":"HLAA7"},"content":{"rendered":"
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07 AA HL – Integration<\/span><\/p>\n<\/div>\n<\/div>\n<\/div>\n

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Table of Contents<\/span><\/div>\n
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Anti Differentiation<\/span><\/h4>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/section>\n
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Starting integration 1<\/span><\/p>\n<\/div>\n<\/div>\n<\/div>\n

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Starting integration 2<\/strong><\/p>\n<\/div>\n<\/div>\n<\/div>\n

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Guess and Check<\/span><\/p>\n<\/div>\n<\/div>\n<\/div>\n

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Definite integrals<\/span><\/h4>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/section>\n
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Positive Areas<\/span><\/p>\n<\/div>\n<\/div>\n<\/div>\n

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Negative Areas<\/span><\/p>\n<\/div>\n<\/div>\n<\/div>\n

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Bounded Areas<\/span><\/p>\n<\/div>\n<\/div>\n<\/div>\n

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Integration by Substitution<\/span><\/h4>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/section>\n
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Substitution 1<\/span><\/p>\n<\/div>\n<\/div>\n<\/div>\n

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Substitution 2<\/strong><\/p>\n<\/div>\n<\/div>\n<\/div>\n

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Substitution 3<\/span><\/p>\n<\/div>\n<\/div>\n<\/div>\n

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Substitution 4<\/strong><\/p>\n<\/div>\n<\/div>\n<\/div>\n

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Integration by Parts<\/span><\/h4>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/section>\n
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By Parts 1<\/span><\/p>\n<\/div>\n<\/div>\n<\/div>\n

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By Parts 2<\/strong><\/p>\n<\/div>\n<\/div>\n<\/div>\n

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By Parts 3<\/span><\/p>\n<\/div>\n<\/div>\n<\/div>\n

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By Parts 4<\/strong><\/p>\n<\/div>\n<\/div>\n<\/div>\n

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Integration by partial fractions<\/span><\/h4>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/section>\n
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Vertical and Horizontal Lines<\/span><\/p>\n<\/div>\n<\/div>\n<\/div>\n

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Plotting Diagonal Lines<\/span><\/p>\n<\/div>\n<\/div>\n<\/div>\n

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Volumes of Revolution<\/span><\/h4>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/section>\n
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Rotating a shape about the x-axis<\/span><\/p>\n<\/div>\n<\/div>\n<\/div>\n

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Using a Casio for Volumes<\/span><\/p>\n<\/div>\n<\/div>\n<\/div>\n

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Kinetics<\/span><\/h4>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/section>\n
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Introduction<\/span><\/p>\n<\/div>\n<\/div>\n<\/div>\n

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Plotting Diagonal Lines<\/span><\/p>\n<\/div>\n<\/div>\n<\/div>\n

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