Solve the Problem $$\int _ { 0 } ^ { \infty } \frac { \tan ^ { - 1 } \frac { x } { 3 } - \tan ^ { - 1 } \frac { x } { 5 } } { x } d x$$

question 328

Multiple Choice

Solve the problem.
-Evaluate
$$\int _ { 0 } ^ { \infty } \frac { \tan ^ { - 1 } \frac { x } { 3 } - \tan ^ { - 1 } \frac { x } { 5 } } { x } d x$$
by writing the integrand as an integral.

• A) \(\frac { \pi } { 4 } \ln \frac { 5 } { 6 }\)
• B) \(\ln \frac { 3 } { 5 }\)
• C) \(\frac { \pi } { 4 } \ln \frac { 5 } { 3 }\)
• D) \(\frac { \pi } { 2 } \ln \frac { 5 } { 3 }\)

---

Definitions:

Paid-in Capital

The amount of money that a company receives from its shareholders in exchange for shares of stock.

Declaration Date

The date on which a company's board of directors announces its intention to pay a dividend.

Incorporation Date

The date on which a company was legally registered or incorporated and started its existence as a corporate entity.

Record Date

Record date is the specific date set by a company on which one must be on the company's books as a shareholder to receive a declared dividend or participate in corporate actions.