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\int\csc\left(\frac{x}{2}\right)dx

Integrate csc(x/2)

Answer

$C_0-2\ln\left(\cot\left(\frac{x}{2}\right)+\csc\left(\frac{x}{2}\right)\right)$

Step-by-step explanation

Problem

$\int\csc\left(\frac{x}{2}\right)dx$
1

Solve the integral $\int\csc\left(\frac{x}{2}\right)dx$ applying u-substitution. Let $u$ and $du$ be

$\begin{matrix}u=\frac{x}{2} \\ du=\frac{1}{2}dx\end{matrix}$

Unlock this step-by-step solution!

Answer

$C_0-2\ln\left(\cot\left(\frac{x}{2}\right)+\csc\left(\frac{x}{2}\right)\right)$

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$\int\csc\left(\frac{x}{2}\right)dx$

Main topic:

Integration by substitution

Used formulas:

4. See formulas

Time to solve it:

~ 0.37 seconds