Final answer to the problem
$\csc\left(x\right)^2-12+\csc\left(x\right)$
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Step-by-step Solution
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- Find the derivative
- Integrate using basic integrals
- Verify if true (using algebra)
- Verify if true (using arithmetic)
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
- Integrate by parts
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1
Applying the trigonometric identity: $\cot\left(\theta \right)^2 = \csc\left(\theta \right)^2-1$
$\csc\left(x\right)^2-12+\csc\left(x\right)$
Final answer to the problem
$\csc\left(x\right)^2-12+\csc\left(x\right)$
