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) \(\frac { x ^ { 2 } } { 2 } + 2 x + \ln | x + 49 | + C\)

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Definitions:

Note Payable

A financial obligation or loan documented by a written promissory note specifying the principal amount, interest rate, and maturity date.

Accumulated Depreciation

The total amount of depreciation expense that has been recorded for an asset over its life, effectively reducing its book value.

Accounts Receivable

Amounts due to a company from its customers for goods or services delivered on credit.

Ownership Equity

The remaining interest in the assets of a business after all debts have been subtracted, signifying the ownership stake.