Find the Indefinite Integral $\int \frac { x ^ { 2 } - 25 } { x ^ { 2 } + 25 } d x$

question 61

Multiple Choice

Find the indefinite integral $\int \frac { x ^ { 2 } - 25 } { x ^ { 2 } + 25 } d x$ .

• A) \(\frac { x ^ { 3 } - 25 x } { x ^ { 3 } + 25 x } + C\)
• B) \(x - 10 \arctan \left( \frac { x } { 5 } \right) + C\)
• C) \(x - 6 \arctan \left( \frac { x } { 5 } \right) + C\)
• D) \(\frac { x ^ { 3 } - 75 x } { x ^ { 3 } + 75 x } + C\)

---

Definitions:

Media File

A digital file format used to store multimedia content such as audio, video, and images.

Clip

A short segment extracted from a longer piece of audio, video, or digital media.

Layout Gallery

A feature in software applications that provides a selection of predefined page or document layouts.

Slide Layouts

Predefined arrangements of placeholders for text, images, and other content on a PowerPoint slide, facilitating consistent presentation formatting.