Evaluate the Integral $$\int \tan ^ { 4 } 2 t d t$$

question 407

Multiple Choice

Evaluate the integral.
- $$\int \tan ^ { 4 } 2 t d t$$

• A) \(- \frac { 1 } { 6 } \tan ^ { 3 } 2 t + \frac { 1 } { 2 } \tan 2 t + C\)
• B) \(\frac { 1 } { 6 } \tan ^ { 3 } 2 t - \frac { 1 } { 2 } \tan 2 t + t + C\)
• C) \(\frac { 1 } { 3 } \tan ^ { 3 } 2 t - \tan 2 t + t + C\)
• D) \(\frac { 1 } { 6 } \tan ^ { 3 } 2 t - \frac { 1 } { 4 } \tan ^ { 2 } 2 t + \frac { 1 } { 2 } \tan 2 t + t + C\)

---

Definitions:

Charitable Tax Relief

Tax deductions or exemptions offered to individuals or organizations that make donations to qualified charitable entities.

Specific Performance

A court-ordered action compelling a party to fulfill their obligations under a contract, typically used when simple monetary damages do not suffice.

Breach of Contract

The violation of any agreed-upon terms and conditions in a binding contract.

Art Collector

An individual or institution that accumulates and owns art pieces, often for personal enjoyment, investment, or exhibition.