Question

Evaluate the integral.

$\int \cot ^ { 3 } x d x$

Solution

VerifiedAnswered 1 year ago

Answered 1 year ago

Step 1

1 of 4In order to evaluate the given indefinite integral we will use $\textbf{Trigonometric Identities}$:

$\color{#c34632} \cot ^{2} x= \csc ^{2} x-1$

And $\boldsymbol{u-}$$\textbf{Substitution}$:

$\begin{align*} u &= \csc x \\ du &= -\cot x\csc x\ dx \\ -du &= \cot x\csc x\ dx \end{align*}$

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