Find the Indefinite Integral $\int \csc ( 4 x ) d x$

question 33

Multiple Choice

Find the indefinite integral. $\int \csc ( 4 x ) d x$

• A) \(\frac { - 1 } { 4 } \ln | \csc x + \cot x | + C\)
• B) \(\frac { - 1 } { 4 } \ln | \csc ( 4 x ) + \cot ( 4 x ) | + C\)
• C) \(4 \ln | \csc ( 4 x ) + \cot ( 4 x ) | + C\)
• D) \(\frac { - 1 } { 4 } \ln | \cot ( 4 x ) | + C\)
• E) \(\frac { - 1 } { 4 } \ln | \csc ( 4 x ) | + C\)

---

Definitions:

Lymph Nodes

Small, bean-shaped structures in the lymphatic system, vital for the immune system, filtering substances and aiding in fighting infection.

Thymosin

A hormone produced by the thymus.

Foreign Debris

Material or objects that are not naturally part of a particular environment or system, often causing harm or malfunction.

Inflammatory Response

The body's biological reaction to harmful stimuli, such as pathogens or damaged cells, resulting in inflammation.