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Use Long Division to Evaluate the Integral ∫01x3+12x2−36x+1x2+4x−12dx\int _ { 0 } ^ { 1 } \frac { x ^ { 3 } + 12 x ^ { 2 } - 36 x + 1 } { x ^ { 2 } + 4 x - 12 } d x

Question 59

Multiple Choice

Use long division to evaluate the integral. ∫01x3+12x2−36x+1x2+4x−12dx\int _ { 0 } ^ { 1 } \frac { x ^ { 3 } + 12 x ^ { 2 } - 36 x + 1 } { x ^ { 2 } + 4 x - 12 } d x The choices are rounded to 3 decimal places.


A) −3.544- 3.544
B) 6.4566.456
C) 1.4561.456
D) −8.544- 8.544
E) 11.45611.456

Correct Answer:

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