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** Step-by-step Solution **

** How should I solve this problem?

- Integrate using tabular integration
- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Integrate using trigonometric identities
- Integrate using basic integrals
- Product of Binomials with Common Term
- FOIL Method
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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 $2$

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

Learn how to solve 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 or choose u and calculate it's derivative, du.

** Final answer to the problem

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