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Exercise

4sec⁡2xcsc⁡2x−2csc⁡2x−2sec⁡2x+14\sec^2x\csc^2x-2\csc^2x-2\sec^2x+1

Step-by-step Solution

1

Factoring by sec⁡(x)2\sec\left(x\right)^2

sec⁡(x)2(4csc⁡(x)2−2)−2csc⁡(x)2+1\sec\left(x\right)^2\left(4\csc\left(x\right)^2-2\right)-2\csc\left(x\right)^2+1

Final answer to the exercise

sec⁡(x)2(4csc⁡(x)2−2)−2csc⁡(x)2+1\sec\left(x\right)^2\left(4\csc\left(x\right)^2-2\right)-2\csc\left(x\right)^2+1

Try other ways to solve this exercise

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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
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4sec2xcsc2x−2csc2x−2sec2x+1
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