Evaluate the Integral If It Converges $\frac { 10 } { 81 } \pi$

question 101

Multiple Choice

$\text { Determine whether the improper integral } \int _ { 0 } ^ { \infty } \frac { 10 } { \sqrt { x } ( x + 81 ) } d x \text { diverges or converges. }$ Evaluate the integral if it converges.

• A) \(\frac { 10 } { 81 } \pi\)
• B) \(\frac { 10 } { 9 } \pi\)
• C) diverges
• D) \(\frac { 10 } { 81 }\)
• E) \(\frac { 10 } { 9 }\)

---

Definitions:

Day Trader

An investor who buys and sells securities within the same trading day.

Utility Function

An economic model or formula that represents a consumer's preferences by assigning a utility value to each possible choice or bundle of goods.

Probability

A measure of the likelihood of a specific event or outcome occurring.

Wins

Achievements or successes in a competition or challenge.