Evaluate the Integral $\int \tan ^ { 4 } 6 t d t$

question 79

Multiple Choice

Evaluate the integral.
- $\int \tan ^ { 4 } 6 t d t$

• A) \(\frac { 1 } { 18 } \tan ^ { 3 } 6 \mathrm { t } - \frac { 1 } { 6 } \tan 6 \mathrm { t } + \mathrm { t } + \mathrm { C }\)
• B) \(\frac { 1 } { 18 } \tan ^ { 3 } 6 \mathrm { t } - \frac { 1 } { 36 } \tan ^ { 2 } 6 \mathrm { t } + \frac { 1 } { 6 } \tan 6 \mathrm { t } + \mathrm { t } + \mathrm { C }\)
• C) \(- \frac { 1 } { 18 } \tan ^ { 3 } 6 t + \frac { 1 } { 6 } \tan 6 t + C\)
• D) \(\frac { 1 } { 3 } \tan ^ { 3 } 6 t - \tan 6 t + t + C\)

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Definitions:

Bicarbonate

A salt-containing the anion HCO3, involved in the buffering of pH levels in the blood and other fluids of the body.

Cation

A positively charged ion that moves towards the cathode (negative electrode) in an electrical field.

Sodium

A chemical element with symbol Na and atomic number 11, essential for human health but harmful in excess.

Potassium

A mineral and electrolyte that is crucial for the proper functioning of the body's cells, nerves, and muscles, particularly the heart.