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{"sheet":"Sheet1","index":0,"n_rows":150,"n_cols":14,"rows_kept":150,"merged":[[1,2,1,15],[2,2,2,15],[3,2,3,15],[5,2,5,15],[6,2,6,15],[8,2,8,15],[10,2,10,15],[11,2,11,15],[13,2,13,15],[15,5,15,13],[17,5,17,13],[19,2,19,3],[19,5,19,13],[20,2,20,15],[23,7,23,15],[26,5,26,13],[27,3,27,12],[27,13,27,14],[28,2,28,15],[30,2,30,3],[30,5,30,13],[31,8,31,9],[34,7,34,15],[37,5,37,13],[38,3,38,12],[38,13,38,14],[39,2,39,15],[41,2,41,3],[41,5,41,13],[42,8,42,9],[45,7,45,15],[48,5,48,13],[49,3,49,12],[49,13,49,14],[50,2,50,15],[52,2,52,3],[52,5,52,13],[56,7,56,15],[59,5,59,13],[60,3,60,12],[60,13,60,14],[61,2,61,15],[63,2,63,3],[63,5,63,13],[64,8,64,9],[67,7,67,15],[70,5,70,13],[71,3,71,12],[71,13,71,14],[72,2,72,15],[74,2,74,3],[74,5,74,13],[75,8,75,9],[78,6,78,15],[81,5,81,13],[82,3,82,12],[82,13,82,14],[83,2,83,15],[85,2,85,3],[85,5,85,13],[86,8,86,9],[89,8,89,15],[92,5,92,13],[93,3,93,12],[93,13,93,14],[94,2,94,15],[96,2,96,3],[96,5,96,13],[97,8,97,9],[100,8,100,15],[103,5,103,13],[104,3,104,12],[104,13,104,14],[105,2,105,15],[107,2,107,3],[107,5,107,13],[108,8,108,9],[111,8,111,15],[114,5,114,13],[115,3,115,12],[115,13,115,14],[116,2,116,15],[118,2,118,3],[118,5,118,13],[122,8,122,15],[125,5,125,13],[126,3,126,12],[126,13,126,14],[127,2,127,15],[129,2,129,3],[129,5,129,13],[133,8,133,15],[136,5,136,13],[137,3,137,12],[137,13,137,14],[138,2,138,15],[140,2,140,3],[140,5,140,13],[144,8,144,15],[147,5,147,13],[148,3,148,12],[148,13,148,14],[149,2,149,15]]}
[]
[null,null,"The Basic Integral Calculus Generator"]
[null,null,"A software-based calculation device to help students Practice Solving Basic Integrals"]
[null,null,"Created by David Alderoty © 2011, e-mail David@TechForText.com"]
[]
[null,null,"To use this software follow the four steps listed below"]
[null,null,"Step 1) In the two white boxes below, enter any two numbers you prefer.  With these numbers, the software will generate twelve math problems involving the integral.  If you want to keep the arithmetic simple, enter single-digit numbers. "]
[]
[null,null,"Step 2) Scroll down and solve each integral with pencil and paper.  You can use a calculator for the arithmetic."]
[]
[null,null,"Step 3) After attempting to solve each integral, check your calculations with the software.  To do this there is a pink box under each integral with the letter N in it.  Left click on the box, and delete the N, and the software will display the calculated result for the integral."]
[null,null,"Step 4) To master a mathematical technique, it is usually necessary to carry out several practice sessions.  With this software, you can change the numbers in the white input boxes, for each practice session, so that the integrals will have different calculated results for each session.  "]
[]
[null,null,"Below there are two white input boxes.  Before you enter or delete numbers in a box left click on it, and then immediately type or delete the number."]
[]
[{"$nulls":4},"a ="]
[]
[{"$nulls":4},"b ="]
[]
[null,null,"Problem 1",null,"a =",{"$f":"a","v":0}]
[]
[]
[]
[{"$nulls":7},{"$f":"IF(N28=\"N\",\"\", a-b)","v":""}]
[]
[]
[{"$nulls":4},"b =",{"$f":"b","v":0}]
[{"$nulls":3},"  To see calculated result for the above delete the",{"$nulls":9},"N"]
[null,null,"The spreadsheet formula for this calculation is =a-b"]
[]
[null,null,"Problem 2",null,"a =",{"$f":"a","v":0}]
[]
[]
[]
[{"$nulls":7},{"$f":"IF(N39=\"N\",\"\",  ((a^2)-(b^2))/2 )","v":""}]
[]
[]
[{"$nulls":4},"b =",{"$f":"b","v":0}]
[{"$nulls":3},"  To see calculated result for the above delete the",{"$nulls":9},"N"]
[null,null,"The spreadsheet formula for this calculation is =((a^2)-(b^2))/2"]
[]
[null,null,"Problem 3",null,"a =",{"$f":"a","v":0}]
[]
[]
[]
[{"$nulls":7},{"$f":"IF(N50=\"N\",\"\", ((a^3)-(b^3))/3 )","v":""}]
[]
[]
[{"$nulls":4},"b =",{"$f":"b","v":0}]
[{"$nulls":3},"  To see calculated result for the above delete the",{"$nulls":9},"N"]
[null,null,"The spreadsheet formula for this calculation is =((a^3)-(b^3))/3"]
[]
[null,null,"Problem 4",null,"a =",{"$f":"a","v":0}]
[]
[]
[]
[{"$nulls":7},{"$f":"IF(N61=\"N\", \"\", ((a^4)-(b^4))/4)","v":""}]
[]
[]
[{"$nulls":4},"b =",{"$f":"b","v":0}]
[{"$nulls":3},"  To see calculated result for the above delete the",{"$nulls":9},"N"]
[null,null,"The spreadsheet formula for this calculation is =((a^4)-(b^4))/4"]
[]
[null,null,"Problem 5",null,"a =",{"$f":"a","v":0}]
[]
[]
[]
[{"$nulls":7},{"$f":"IF(N72=\"N\", \"\", ((a^5)-(b^5))/5 )","v":""}]
[]
[]
[{"$nulls":4},"b =",{"$f":"b","v":0}]
[{"$nulls":3},"  To see calculated result for the above delete the",{"$nulls":9},"N"]
[null,null,"The spreadsheet formula for this calculation is =((a^5)-(b^5))/5 "]
[]
[null,null,"Problem 6",null,"a =",{"$f":"a","v":0}]
[]
[]
[]
[{"$nulls":6},{"$f":"IF(N83=\"N\", \"\",((a^6)-(b^6))/6 )","v":""}]
[]
[]
[{"$nulls":4},"b =",{"$f":"b","v":0}]
[{"$nulls":3},"  To see calculated result for the above delete the",{"$nulls":9},"N"]
[null,null,"The spreadsheet formula for this calculation is =((a^6)-(b^6))/6 "]
[]
[null,null,"Problem 7",null,"a =",{"$f":"a","v":0}]
[]
[]
[]
[{"$nulls":8},{"$f":"IF(N94=\"N\", \"\",  ((2*a+a^2)-(2*b+b^2))/2 )","v":""}]
[]
[]
[{"$nulls":4},"b =",{"$f":"b","v":0}]
[{"$nulls":3},"  To see calculated result for the above delete the",{"$nulls":9},"N"]
[null,null,"The spreadsheet formula for this calculation is =((2*a+a^2)-(2*b+b^2))/2 "]
[]
[null,null,"Problem 8",null,"a =",{"$f":"a","v":0}]
[]
[]
[]
[{"$nulls":8},{"$f":"IF(N105=\"N\", \"\",  ((3*a+a^3)-(3*b+b^3))/3 )","v":""}]
[]
[]
[{"$nulls":4},"b =",{"$f":"b","v":0}]
[{"$nulls":3},"  To see calculated result for the above delete the",{"$nulls":9},"N"]
[null,null,"The spreadsheet formula for this calculation is =((3*a+a^3)-(3*b+b^3))/3"]
[]
[null,null,"Problem 9",null,"a =",{"$f":"a","v":0}]
[]
[]
[]
[{"$nulls":8},{"$f":"IF(N116=\"N\", \"\", ((4*a+a^4)-(4*b+b^4))/4 )","v":""}]
[]
[]
[{"$nulls":4},"b =",{"$f":"b","v":0}]
[{"$nulls":3},"  To see calculated result for the above delete the",{"$nulls":9},"N"]
[null,null,"The spreadsheet formula for this calculation is =((4*a+a^4)-(4*b+b^4))/4"]
[]
[null,null,"Problem 10",null,"a =",{"$f":"a","v":0}]
[]
[]
[]
[{"$nulls":8},{"$f":"IF(N127=\"N\", \"\",((5*a+a^5)-(5*b+b^5))/5 )","v":""}]
[]
[]
[{"$nulls":4},"b =",{"$f":"b","v":0}]
[{"$nulls":3},"  To see calculated result for the above delete the",{"$nulls":9},"N"]
[null,null,"Spreadsheet formula for this calculation is ((5*a+a^5)-(5*b+b^5))/5"]
[]
[null,null,"Problem 11",null,"a =",{"$f":"a","v":0}]
[]
[]
[]
[{"$nulls":8},{"$f":"IF(N138=\"N\", \"\",((6*a+a^6)-(6*b+b^6))/6)","v":""}]
[]
[]
[{"$nulls":4},"b =",{"$f":"b","v":0}]
[{"$nulls":3},"  To see calculated result for the above delete the",{"$nulls":9},"N"]
[null,null,"Spreadsheet formula for this calculation is ((6*a+a^6)-(6*b+b^6))/6"]
[]
[null,null,"Problem 12",null,"a =",{"$f":"a","v":0}]
[]
[]
[]
[{"$nulls":8},{"$f":"IF(N149=\"N\", \"\",((7*a+a^7)-(7*b+b^7))/7)","v":""}]
[]
[]
[{"$nulls":4},"b =",{"$f":"b","v":0}]
[{"$nulls":3},"  To see calculated result for the above delete the",{"$nulls":9},"N"]
[null,null,"Spreadsheet formula for this calculation is =((7*a+a^7)-(7*b+b^7))/7"]

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