Evaluate the Integral $\int x \sin 3 x \cos 3 x d x$

question 1

Multiple Choice

Evaluate the integral. $\int x \sin 3 x \cos 3 x d x$

• A) \(-\frac{1}{9}(\cos 9 x-9 x \sin 9 x)+C\)
• B) \(\frac{1}{18}(\sin 3 x-3 x \cos 3 x)+C\)
• C) \(\frac{1}{9}(\sin 9 x-49 \cos 9 x)+C\)
• D) \(-\frac{1}{18}(\sin 18 x-18 x \cos 18 x)+C\)
• E) None of these

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Definitions:

Ethene

A colorless flammable gas, also known as ethylene, used as a plant hormone and in the production of polymers such as polyethylene.

Lewis Structure

A diagrammatic method for representing the electron configuration in molecules, showing how valence electrons are arranged among atoms in a molecule.

Double Bonds

Double bonds are chemical bonds between two chemical elements involving four bonding electrons as opposed to two in a single bond.

Compound

A substance formed from two or more elements chemically united in fixed proportions.