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** Step-by-step Solution **

Problem to solve:

** Specify the solving method

We could not solve this problem by using the method: **Tabular Integration**

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Simplify $\left(\cot\left(x\right)^2\right)^2$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $2$ and $n$ equals $2$

Learn how to solve integral calculus problems step by step online.

$\int2x\cot\left(x\right)^{4}dx$

Learn how to solve integral calculus problems step by step online. Find the integral int(2xcot(x)^2^2)dx. Simplify \left(\cot\left(x\right)^2\right)^2 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 2 and n equals 2. The integral of a function times a constant (2) is equal to the constant times the integral of the function. We can solve the integral \int x\cot\left(x\right)^{4}dx by applying integration by parts method to calculate the integral of the product of two functions, using the following formula. First, identify u and calculate du.

** Final Answer

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