Evaluate the Definite Integral $$\int _ { 0 } ^ { 1 } \frac { x ^ { 2 } - x } { x ^ { 2 } + x + 1 } d x$$

question 59

Multiple Choice

Evaluate the definite integral $$\int _ { 0 } ^ { 1 } \frac { x ^ { 2 } - x } { x ^ { 2 } + x + 1 } d x$$

• A)
• \[\int _ { 0 } ^ { 1 } \frac { x ^ { 2 } - x } { x ^ { 2 } + x + 1 } d x \approx - 0.039\]
• B)
• \[\int _ { 0 } ^ { 1 } \frac { x ^ { 2 } - x } { x ^ { 2 } + x + 1 } d x \approx - 0.099\]
• C)
• \[\int _ { 0 } ^ { 1 } \frac { x ^ { 2 } - x } { x ^ { 2 } + x + 1 } d x \approx - 0.069\]
• D)
• \[\int _ { 0 } ^ { 1 } \frac { x ^ { 2 } - x } { x ^ { 2 } + x + 1 } d x \approx - 0.109\]
• E)
• \[\int _ { 0 } ^ { 1 } \frac { x ^ { 2 } - x } { x ^ { 2 } + x + 1 } d x \approx - 0.129\]

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The uplift in the purchase price of items specifically to recover operational overhead and to make a profit.

Split-off Point

The stage in a production process where multiple products are derived from a single process or material, leading to separate further processing.

Joint Production Costs

Costs incurred in the process of producing two or more products simultaneously from the same raw materials or process.

Split-off Point

Refers to the stage in a production process where joint products can be recognized as separate products.