Final answer to the problem
Step-by-step Solution
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- Choose an option
- 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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Applying the trigonometric identity: $\cot\left(\theta \right) = \frac{\cos\left(\theta \right)}{\sin\left(\theta \right)}$
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$\sec\left(x\right)\tan\left(x\right)\csc\left(x\right)+\sec\left(x\right)\sin\left(x\right)\frac{-\cos\left(x\right)}{\sin\left(x\right)}$
Learn how to solve factorization problems step by step online. Simplify the trigonometric expression sec(x)tan(x)csc(x)-sec(x)sin(x)cot(x). Applying the trigonometric identity: \cot\left(\theta \right) = \frac{\cos\left(\theta \right)}{\sin\left(\theta \right)}. Multiplying the fraction by \sec\left(x\right)\sin\left(x\right). Simplify the fraction \frac{-\cos\left(x\right)\sec\left(x\right)\sin\left(x\right)}{\sin\left(x\right)} by \sin\left(x\right). Applying the secant identity: \displaystyle\sec\left(\theta\right)=\frac{1}{\cos\left(\theta\right)}.