$\text { Find the integral } \int \frac { t } { t ^ { 4 } + 81 } d t \text {. }$

question 27

Multiple Choice

$\text { Find the integral } \int \frac { t } { t ^ { 4 } + 81 } d t \text {. }$

• A) \(\frac { 1 } { 18 } \arctan 9 t ^ { 2 } d t + C\)
• B) \(\frac { 1 } { 18 } \arctan \frac { t ^ { 2 } } { 9 } d t + C\)
• C) \(\arctan \frac { t ^ { 2 } } { 81 } d t + C\)
• D) \(\frac { 1 } { 9 } \arctan 81 t ^ { 2 } d t + C\)
• E) \(\arctan \frac { t ^ { 2 } } { 9 } d t + C\)

---

Definitions:

Return On Equity

calculates the amount of net income returned as a percentage of shareholders equity, measuring a corporation's profitability by revealing how much profit a company generates with the money shareholders have invested.

Common Stock

A form of equity security signifying an ownership stake in a company, granting the holder the right to participate in voting on corporate issues and to earn dividends.

Market Price

The present rate at which a service or asset is available for purchase or sale on an open market.

Dividends

Disbursements issued by a corporation to its owners, often in the form of profit sharing.