Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Weierstrass Substitution
- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Integrate using trigonometric identities
- Integrate using basic integrals
- Product of Binomials with Common Term
- FOIL Method
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$\int\frac{\cot\left(x\right)^2\cos\left(x\right)^2}{\cot\left(x\right)^2-\cos\left(x\right)^2}dx$
Learn how to solve integral calculus problems step by step online. Integrate the function (cot(x)^2cos(x)^2)/(cot(x)^2-cos(x)^2). Find the integral. Apply the trigonometric identity: \cot\left(\theta \right)^2\cos\left(\theta \right)^2=\cot\left(\theta \right)^2-\cos\left(\theta \right)^2. Simplify the fraction \frac{\cot\left(x\right)^2-\cos\left(x\right)^2}{\cot\left(x\right)^2-\cos\left(x\right)^2} by \cot\left(x\right)^2-\cos\left(x\right)^2. The integral of a constant is equal to the constant times the integral's variable.