Evaluate the Integral $$\int \left( x ^ { 2 } - 3 x \right) e ^ { x } d x$$

question 57

Multiple Choice

Evaluate the integral.
- $$\int \left( x ^ { 2 } - 3 x \right) e ^ { x } d x$$

• A) \(e ^ { x } \left[ x ^ { 2 } - 5 x - 5 \right] + C\)
• B) \(e ^ { x } \left[ x ^ { 2 } - 3 x + 3 \right] + C\)
• C) \(\frac { 1 } { 3 } x ^ { 3 } e ^ { x } - \frac { 3 } { 2 } x ^ { 2 } e ^ { x } + C\)
• D) \(e ^ { x } \left[ x ^ { 2 } - 5 x + 5 \right] + C\)

---

Definitions:

Normal Balance

The typical side (debit or credit) on which an account increases, depending on the type of account.

Debit Balance

A balance in a financial account where the total debits exceed the total credits, common in asset and expense accounts.

Account

A record that summarizes all transactions related to a particular item or entity, used in financial accounting to track financial changes.

Dividends

Payments made by a corporation to its shareholders out of its profits.