{"text_format":"3","workbook":"xlsx","n_sheets":3,"sheets":["Sheet1","Sheet2","Sheet3"],"not_rendered":{"charts":5,"images":9,"external_links":1,"defined_names":12,"comments":1},"read":"whole","date_system":"1900"}

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[null,"       Visualizing Integration by Parts"]
[]
[null,null,"    This DIGMath spreadsheet lets you"]
[null,null,"               visualize the process of"]
[null,null,"Integration by Parts for various functions"]
[]
[]
[]
["Which function do you want?",null,null,{"$f":"IF(E9=TRUE, 1,IF(E10=TRUE, 2,IF(E12=TRUE,3,4)))","v":3},false]
[{"$nulls":4},false]
[]
[{"$nulls":4},true]
[]
["What is the power p (1 to 3)?",null,null,{"$f":"E14","v":3},3]
[]
["What is the multiple c (-3, 3)?",null,null,{"$f":"IF(E16<3,E16-3,E16-2)","v":2},4,{"$nulls":4},"Pick a tracing point x0 =",null,null,{"$f":"a+K17*dx","v":2.58}]
[{"$nulls":10},172]
["             Your function is then y =",{"$nulls":3},{"$f":"IF(pop=1,Sheet2!A1,IF(pop=2,Sheet2!A2,Sheet2!A3))","v":"x^3 cos(2x)"}]
[{"$nulls":9}," The area from x =",null,{"$f":"a","v":0},"to x =",{"$f":"x0","v":2.58},"=",{"$f":"LOOKUP(x0+dx/2,Sheet2!$C$2:$C$202,Sheet2!E$2:E$202)","v":-3.6222785586703874}]
[]
["What is the interval for x? "]
[null,null,"xMin =",0]
[null,null,"xMax =",3]
[]
[]
[]
[]
[]
[]
["Click each item below for suggestions and investigations"]
[null,null,"   Item 1"]
[null,null,"   Item 2"]
[null,null,"   Item 3"]
[]
[]
[{"$nulls":8},"          The area  =",null,{"$f":"LOOKUP(x0+dx/2,Sheet2!$C$2:$C$202,Sheet2!F2:F202)","v":{"v":-7.740820191771033,"d":"-7.741"}},{"$nulls":5},"          The area  =",null,{"$f":"LOOKUP(x0+dx/2,Sheet2!$C$2:$C$202,Sheet2!J$2:J$202)","v":{"v":-4.11779900625369,"d":"-4.118"}}]
["To access/download all the DIGMath Apps for Calculus",{"$nulls":10},"         The Difference =",{"$nulls":3},{"$f":"K36-S36","v":{"v":-3.6230211855173433,"d":"-3.623"}}]
["Click this link:",null,"DIGMath for Calculus"]
[]
["Created by:  Sheldon P. Gordon   "]
["                      Farmingdale State College    "]
["Development of this module was supported by the "]
["NSF's Division of Undergraduate Education  "]
["under grants DUE-0310123 and DUE-0442160."]

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["First graph",null,0.18000000000000005,0.00545815027568972,2.5282300099565148E-4,1.0272316642301635E-3,0.07742030096176589,2.8034975869471596E-3,-7.7603755598887325E-4,7.7603755598887325E-4,2.5119410824129022E-4,null,{"$f":"M12+dx","v":0.09},0,{"$f":"IF(xx<=x0,O12+dx,O12)","v":0.09},{"$f":"N14","v":0},0,0,0,0,0,0]
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["Second graph",null,0.2400000000000001,0.012261817812500837,7.6928561690724716E-4,0.003191817661342735,0.10556502780882035,0.006440755655607117,-2.4251669756334415E-3,2.4251669756334415E-3,7.666506857092934E-4,null,{"$f":"M16+dx","v":0.12},0,{"$f":"IF(xx<=x0,O16+dx,O16)","v":0.12},{"$f":"N18","v":0},0,0,0,0,0,0]
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["Third graph",null,0.30000000000000016,0.022284061602561342,0.001791022535231244,0.007622673390832992,0.13283643598828476,0.01207295278570425,-0.00583525809860902,0.00583525809860902,1.7874152922239721E-3,null,{"$f":"M20+dx","v":0.15000000000000002},0,{"$f":"IF(xx<=x0,O20+dx,O20)","v":0.15000000000000002},{"$f":"N22","v":0},0,0,0,0,0,0]
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["Fourth graph",null,0.3600000000000002,0.03507624809879765,0.003500960579425525,0.015382125627750562,0.15729983180353485,0.019810484994366412,-0.011885492987638357,0.011885492987638357,0.003496632640112204,null,{"$f":"M24+dx","v":0.18000000000000005},0,{"$f":"IF(xx<=x0,O24+dx,O24)","v":0.18000000000000005},{"$f":"N26","v":0},0,0,0,0,0,0]
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["Fifth graph",null,0.42000000000000026,0.049450985840930904,0.006033304370635845,0.027584559736200578,0.17638143851145077,0.029525904923084545,-0.021555810622506222,0.021555810622506222,0.006028749113694356,null,{"$f":"M28+dx","v":0.21000000000000008},0,{"$f":"IF(xx<=x0,O28+dx,O28)","v":0.21000000000000008},{"$f":"N30","v":0},0,0,0,0,0,0]
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