Use Long Division to Evaluate the Integral $$\int \frac { x ^ { 2 } } { x + 7 } d x$$

question 69

Multiple Choice

Use long division to evaluate the integral.
$$\int \frac { x ^ { 2 } } { x + 7 } d x$$

• A) \(\frac { 1 } { 2 } ( x - 21 ) ( x + 7 ) + 49 \ln | x + 7 | + C\)
• B) \(\frac { 1 } { 2 } ( x + 21 ) ( x + 7 ) - 49 \ln | x + 7 | + C\)
• C) \(\frac { x ^ { 2 } } { 2 } - 14 x - 147 + \ln | x + 7 | + C\)
• D) \(\frac { x ^ { 2 } } { 2 } - 14 x + 147 + 49 \ln | x + 7 | + C\)
• E) \(\frac { x ^ { 2 } } { 2 } + 2 x + \ln | x + 49 | + C\)

---

Definitions:

Machinery

Physical devices or equipment designed to perform specific tasks in industrial or commercial settings, often part of the fixed assets of a business.

Soft Rationing

The situation that occurs when units in a business are allocated a certain amount of financing for capital budgeting.

Hard Rationing

The situation that occurs when a business cannot raise financing for a project under any circumstances.

Hard Capital Rationing

A situation where a company is unable to secure additional funding from external sources like equity or debt markets.