Find the Indefinite Integral $$\int \frac { \cot \left( 13 / z ^ { 2 } \right) } { z ^ { 3 } } d z$$

question 79

Multiple Choice

Find the indefinite integral. $$\int \frac { \cot \left( 13 / z ^ { 2 } \right) } { z ^ { 3 } } d z$$

• A) \(\frac { 1 } { 13 } \ln \left| \sin \left( 13 / z ^ { 2 } \right) \right| + C\)
• B) \(- \frac { 1 } { 26 } \ln | \sin ( 13 / z ) | + C\)
• C) \(- \frac { 1 } { 13 } \ln \left| \sin \left( 13 / z ^ { 2 } \right) \right| + C\)
• D) \(- \frac { 1 } { 26 } \ln \left| \sin \left( 13 / z ^ { 2 } \right) \right| + C\)
• E) \(\frac { 1 } { 26 } \ln \left| \sin \left( 13 / z ^ { 2 } \right) \right| + C\)

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Definitions:

Semitendinosus

A muscle in the back of the thigh, part of the hamstring group.

Gastrocnemius

A large muscle located on the back portion of the lower leg, forming part of the calf, that aids in walking, running, and jumping.

Biceps Femoris

A muscle of the thigh that is part of the hamstrings, involved in knee flexion and thigh extension.