Evaluate the Integral by Using Multiple Substitutions $\int 3 \left( 3 x ^ { 2 } - 5 \right) \sin ^ { 5 } \left( x ^ { 3 } - 5 x \right) \cos \left( x ^ { 3 } - 5 x \right) d x$

question 1

Multiple Choice

Evaluate the integral by using multiple substitutions.
- $\int 3 \left( 3 x ^ { 2 } - 5 \right) \sin ^ { 5 } \left( x ^ { 3 } - 5 x \right) \cos \left( x ^ { 3 } - 5 x \right) d x$

• A) \(15 \sin ^ { 4 } \left( x ^ { 3 } - 5 x \right) + C\)
• B) \(\frac { 1 } { 2 } \cos ^ { 6 } \left( 3 x ^ { 2 } \right) + C\)
• C) \(\frac { 1 } { 2 } \sin ^ { 6 } \left( x ^ { 3 } - 5 x \right) + C\)
• D) \(2 \sin ^ { 6 } \left( x ^ { 3 } - 5 x \right) + C\)

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Definitions:

Adjusting Journal Entry

Adjusting journal entries are made in the accounting records to correct or allocate transactions in the appropriate accounting period for accurate financial reporting.

Expense

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Liability

A company's legal financial debts or obligations that arise during business operations, to be settled over time.

Skeletal System

The entire framework of bones and connective tissues that provide support, protection, and aid in movement of the body.