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Exercise

$sin\left(x\right)cos^5\left(x\right)+cos^6\left(x\right)$

Step-by-step Solution

1

Factor the polynomial $\sin\left(x\right)\cos\left(x\right)^5+\cos\left(x\right)^6$ by it's greatest common factor (GCF): $\cos\left(x\right)^{5}$

$\cos\left(x\right)^{5}\left(\sin\left(x\right)+\cos\left(x\right)\right)$

Final answer to the exercise

$\cos\left(x\right)^{5}\left(\sin\left(x\right)+\cos\left(x\right)\right)$

Try other ways to solve this exercise

  • 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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