Use reduction formulas to evaluate the integral.
-$$\int \cot ^ { 4 } 3 x d x$$
A) $- \frac { 1 } { 3 } \cot ^ { 3 } 3 x - \frac { 1 } { 3 } \cot 3 x + x + C$
B) $- \frac { 1 } { 9 } \cot ^ { 3 } 3 x + \frac { 1 } { 3 } \cot 3 x + x + C$
C) $- \frac { 1 } { 9 } \cot ^ { 2 } 3 x + \frac { 1 } { 3 } \cot 3 x - x + C$
D) $- \frac { 1 } { 9 } \cot ^ { 3 } 3 x + \frac { 1 } { 3 } \cot 3 x + C$

Question

Quizplus · Accepted Answer

The reduction formula for $\int \cot^n(x) \, dx$ can be used to evaluate the integral. The correct choice simplifies the integral using this formula and accounts for the factor of 3 from the $3x$ term.

Use Reduction Formulas to Evaluate the Integral ∫cot⁡43xdx\int \cot ^ { 4 } 3 x d x∫cot43xdx

Use Reduction Formulas to Evaluate the Integral $\int \cot ^ { 4 } 3 x d x$