EvaluateABD3x53x4+6x3-3x2 - 6xx² - 4x2x2-2x-Inx² - 2x2x² - 4x2+ In-dx, using method of partial fractions.+ In[ (x− 1) 1/6(x+2) 16/3-(x + 1) 1/12) 102] + C2) 16/32 ] + C[(x − 1) 1/6(x+2) 16/(x+1) 1/2[ (x − 1) 1/6(x+2) 16/3(x+1) 1/2−[ (x − 1) 1/6(x+2) 16+ 1 −Inx+12) 16/3 + C+C( x + 2) 16/3 ] + C

Given that ∫3x53x4+6x3-3x2-6xdx We can re-structure this integral as…

3x5 Evaluate 3x4+6x3-3x2 - 6x ^ x² = 4x + 1 [ (x-1) 1/6 (x + 2) 16/3] + A In +C 2 1/2 16/3 B -2x-In 2x - 10 [ - 10/2] + C ¯ (x − 1) 1/6(x+2) 16. (x+1) 1/2 +C © x ² = 2 x + 1 ] + c (x-1) 1/6(x+2) 16/3- (x+1) 1/2 2 D (x-1) 1/6(x+2) 16/3- x² = 4x + 1 ] + C 2 x+1 -dx, using method of partial fractions.

3x5 Evaluate 3x4+6x3-3x2 - 6x ^ x² = 4x + 1 [ (x-1) 1/6 (x + 2) 16/3] + A In +C 2 1/2 16/3 B -2x-In 2x - 10 [ - 10/2] + C ¯ (x − 1) 1/6(x+2) 16. (x+1) 1/2 +C © x ² = 2 x + 1 ] + c (x-1) 1/6(x+2) 16/3- (x+1) 1/2 2 D (x-1) 1/6(x+2) 16/3- x² = 4x + 1 ] + C 2 x+1 -dx, using method of partial fractions.

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter6: Linear Systems

Section6.6: Partial Fractions

Problem 49E

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