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:

Recognition Lag

The time needed to identify a macroeconomic problem and assess its seriousness.

Effectiveness Lag

The time it takes for a policy action, particularly in monetary or fiscal policy, to produce its intended effects on the economy.

Recognition Lag

The time it takes for policymakers to identify and acknowledge an economic problem or trend.

Economic Policy

A set of strategies chosen by a government to influence its economy, including fiscal policy (use of government spending and taxation) and monetary policy (controlling the nation's money supply and interest rates).