0 A Review Of Basic Algebra 1 Equations And Inequalities 2 Functions And Graphs 3 Functions 4 Polynomial And Rational Functions 5 Exponential And Logarithmic Functions 6 Linear Systems 7 Conic Sections And Quadratic Systems 8 Sequences, Series, And Probability Chapter6: Linear Systems
6.1 Systems Of Linear Equations 6.2 Guassian Elimination And Matrix Methods 6.3 Matrix Algebra 6.4 Matrix Inversion 6.5 Determinants 6.6 Partial Fractions 6.7 Graphs Of Inequalities 6.8 Linear Programming 6.CR Chapter Review 6.CT Chapter Test Section6.6: Partial Fractions
Problem 1SC: Self Check Decompose 2x+2xx+2 into partial fractions. Problem 2SC Problem 3SC Problem 4SC Problem 5SC Problem 1E Problem 2E Problem 3E: Decompose each fraction into partial fractions. 3x-1xx-1 Problem 4E: Decompose each fraction into partial fractions. 4x+6xx+2 Problem 5E: Decompose each fraction into partial fractions. 2x-15xx-3 Problem 6E: Decompose each fraction into partial fractions. 5x+21xx+7 Problem 7E: Decompose each fraction into partial fractions. 3x+1x+1x-1 Problem 8E: Decompose each fraction into partial fractions. 9x-3x+1x-2 Problem 9E: Decompose each fraction into partial fractions. -4x2-2x Problem 10E: Decompose each fraction into partial fractions. 1P2-300P Problem 11E: Decompose each fraction into partial fractions. -2x+11x2-x-6 Problem 12E: Decompose each fraction into partial fractions. 7x+2x2+x-2 Problem 13E: Decompose each fraction into partial fractions. 3x-23x2+2x-3 Problem 14E: Decompose each fraction into partial fractions. -x-17x2-x-6 Problem 15E: Decompose each fraction into partial fractions. 9x-312x2-13x+15 Problem 16E: Decompose each fraction into partial fractions. -2x-63x2-7x+2 Problem 17E: Decompose each fraction into partial fractions. 4x2+4x-2xx2-1 Problem 18E: Decompose each fraction into partial fractions. x2-6x-13x+2x2-1 Problem 19E: Decompose each fraction into partial fractions. x2+x+3xx2+3 Problem 20E: Decompose each fraction into partial fractions. 5x2+2x+2x3+x Problem 21E: Decompose each fraction into partial fractions. 3x2+8x+11x+1x2+2x+3 Problem 22E: Decompose each fraction into partial fractions. -3x2+x-5x+1x2+2 Problem 23E: Decompose each fraction into partial fractions. 5x2+9x+3xx+12 Problem 24E: Decompose each fraction into partial fractions. 2x2-7x+2xx-12 Problem 25E: Decompose each fraction into partial fractions. -2x2+x-2x2x-1 Problem 26E: Decompose each fraction into partial fractions. x2+x+1x3 Problem 27E: Decompose each fraction into partial fractions. 3x2-13x+18x3-6x2+9x Problem 28E: Decompose each fraction into partial fractions. 3x2+13x+20x3+4x2+4x Problem 29E: Decompose each fraction into partial fractions. x2-2x-3x-13 Problem 30E: Decompose each fraction into partial fractions. x2+8x+18x+33 Problem 31E: Decompose each fraction into partial fractions. x3+4x2+2x+1x4+x3+x2 Problem 32E: Decompose each fraction into partial fractions. 3x3+5x2+3x+1x2x2+x+1 Problem 33E: Decompose each fraction into partial fractions. 4x3+5x2+3x+4x2x2+1 Problem 34E: Decompose each fraction into partial fractions. 2x2+1x4+x2 Problem 35E: Decompose each fraction into partial fractions. -x2-3x-5x3+x2+2x+2 Problem 36E: Decompose each fraction into partial fractions. -2x3+7x2+6x2x2+2 Problem 37E: Decompose each fraction into partial fractions. x3+4x2+3x+6x2+2x2+x+2 Problem 38E: Decompose each fraction into partial fractions. x3+3x2+2x+4x2+1x2+x+2 Problem 39E: Decompose each fraction into partial fractions. 2x4+6x3+20x2+22x+25xx2+2x+52 Problem 40E Problem 41E: Decompose each fraction into partial fractions. x3x2+3x+2 Problem 42E Problem 43E: Decompose each fraction into partial fractions. 3x3+3x2+6x+43x3+x2+3x+1 Problem 44E Problem 45E Problem 46E: Decompose each fraction into partial fractions. x4+x3+3x2+x+1x2+12 Problem 47E: Decompose each fraction into partial fractions. 2x4+2x3+3x2-1x2-xx2+1 Problem 48E: Decompose each fraction into partial fractions. x4-x3+5x2+x+6x2+3x2+1 Problem 49E Problem 50E Problem 51E Problem 52E Problem 53E Problem 54E Problem 55E Problem 56E Problem 57E Problem 58E: Match the rational expression on the left with the correct partial fraction decomposition form on... Problem 59E Problem 60E Problem 61E Problem 62E: Match the rational expression on the left with the correct partial fraction decomposition form on... Problem 15E: Decompose each fraction into partial fractions. 9x-312x2-13x+15
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Integrate the following using Integration by Parts.
Transcribed Image Text: C. Method of Partial Fractions
Integrate the following:
(4x + 5)dx
Jx² + 4x + 20
t dt
Jz+6t + 13
With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.
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