Write an Integral Giving the Area of the Surface Obtained $x$

question 70

Multiple Choice

Write an integral giving the area of the surface obtained by revolving the curve about the $x$ -axis. (Do not evaluate the integral.)
$$y = \frac { 2 } { x } \text { on } [ 4,5 ]$$

• A) \(2 \pi \int _ { 4 } ^ { 5 } \frac { 2 } { x } \left( 1 + \left( - \frac { 2 } { x ^ { 2 } } \right) ^ { 2 } \right) d x\)
• B) \(2 \pi \int _ { 4 } ^ { 5 } \frac { \sqrt { x ^ { 4 } - 4 } } { x ^ { 3 } } d x\)
• C) \(4 \pi \int _ { 4 } ^ { 5 } x ^ { 3 } \sqrt { x ^ { 4 } + 4 } d x\)
• D)
• \[4 \pi \int _ { 4 } ^ { 5 } \frac { \sqrt { x ^ { 4 } + 4 } } { x ^ { 3 } } d x\]

---

Definitions:

Proprietary Databases

Are databases owned by an individual or a company with restrictions on their use, modification, and distribution.

Liability

In financial terms, it represents an obligation or debt that an entity owes to another that requires settlement by future transfer or use of assets, provision of services, or other economic benefits.

Privacy Issue

Concerns related to the protection of personal and sensitive information from unauthorized access, use, or disclosure in the digital age.

Proprietary Databases

Databases owned by a specific entity that restrict access to non-authorized users, often containing unique or sensitive information.