The value of the integral $\int \frac{\mathrm{c}\mathrm{o}\mathrm{s}\mathrm{e}{\mathrm{c}}^{2}x-2019}{\mathrm{c}\mathrm{o}{\mathrm{s}}^{2019}x}$ $dx$ is equal to (where $C$ is the constant of integration)

• A

  $\frac{\cot x}{{\left(\cos x\right)}^{2019}}+C$
• Correct answer
  B

  $\frac{-\cot x}{{\left(\cos x\right)}^{2019}}+C$
• C

  $\cot x{\left(\cos x\right)}^{2019}+C$
• D

  $-\cot x{\left(\cos x\right)}^{2019}+C$

Hence, the correct answer is option: 'B'.