Use the Substitution Formula to Evaluate the Integral $$\int _ { 7 \pi / 6 } ^ { 7 \pi / 3 } 6 \cot \frac { t } { 7 } d t$$

question 291

Multiple Choice

Use the substitution formula to evaluate the integral.
- $$\int _ { 7 \pi / 6 } ^ { 7 \pi / 3 } 6 \cot \frac { t } { 7 } d t$$

• A) 42 ln 3
• B) 21 ln 3
• C) -21 ln 3
• D) -42 ln 3

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Definitions:

Collagen Fibers

Strong, fibrous proteins that make up connective tissues, providing support and strength.

Carpal Bone

One of the eight small bones that make up the wrist (carpus) that connects the hand to the forearm, allowing for the wrist's complex range of movement.

Epiphysis

Portion of a bone developed from a secondary ossification center and separated from the remainder of the bone by the epiphyseal plate.

Tibia

A large bone located in the lower leg between the knee and ankle, known as the shinbone.