Integration

Page 1

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Integration

By Anand MeraSkill.com

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Integration


Index What is Integration? Basic Formulae Special Variable Actual Substitution Integration by parts Parts Special case Partial Fraction Special Substitution Definite Integration Properties of Definite Integration

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What is Integration? Integration is reverse of Differentiation ex-

Symbol ∫x2dx

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Basic Formulae


Basic Formulae xn+1 = n+1 +c -n+1 x ______ ∫x-ndx = +c -n+1 ∫xndx

______

∫exdx = ex +c ax ______ ∫axdx = loga +c ∫1/x dx = logx +c ∫logx= xlogx - x + c © MeraSkill


∫x6dx =

∫4x6dx =

4∫x6dx =

4∫1/x6dx = ∫xdx = © MeraSkill


∫x-6dx =

∫4x-6dx =

4∫x-6dx =

4∫1/x-6dx =

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∫exdx =

∫axdx =

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∫1/5x dx =

∫axdx =

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Integration of a constant ∫ a dx =∫a.x0 dx ∫ 7 dx =

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Addition & Subtraction to a constant 3+k 3-k

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∫ (3x4+5x6+x+1/x+5)dx

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