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Exercise

$cos\left(x\right)^5sec\left(x\right)^3$

Step-by-step Solution

1

Apply the trigonometric identity: $\cos\left(\theta \right)^n\sec\left(\theta \right)^m$$=\cos\left(\theta \right)^{\left(n-m\right)}$, where $m=3$ and $n=5$

$\cos\left(x\right)^{2}$

Final answer to the exercise

$\cos\left(x\right)^{2}$

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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