Find an antiderivative of the given function.
-$2 \csc 9 x \cot 9 x$
A) $- 2 \csc 9 x$
B) $- \frac { 2 } { 9 } \csc 9 x$
C) $- \frac { 2 } { 9 } \cot 9 x$
D) $\frac { 2 } { 9 } \csc 9 x$

Question

Quizplus · Accepted Answer

The antiderivative of $2 \csc 9 x \cot 9 x$ can be found by recognizing it as a standard integral form. The integral of $\csc u \cot u \, du$ is $-\csc u + C$, where $C$ is the constant of integration. Applying this to the given function, with $u = 9x$, gives $-\frac{2}{9} \csc 9x + C$, thus the correct answer is $- \frac { 2 } { 9 } \csc 9 x$.

Find an Antiderivative of the Given Function 2csc⁡9xcot⁡9x2 \csc 9 x \cot 9 x2csc9xcot9x

Find an Antiderivative of the Given Function $2 \csc 9 x \cot 9 x$