Respuesta :
The given equation is not defined in the interval [tex]\left[\dfrac{\pi}{3},\pi\right][/tex]. Therefore, FTC2 is not applied and this can be determined by using the property of the trigonometric function.
Given :
Equation -- [tex]\rm \int^{\pi}_{\pi/3}7\;sec\theta\; tan\theta \;d\theta[/tex]
The following steps can be used in order to determine what is wrong with the given equation:
Step 1 - Write the given equation.
[tex]\rm \int^{\pi}_{\pi/3}7\;sec\theta\; tan\theta \;d\theta[/tex]
Step 2 - In the given equation [tex]\rm sec\theta[/tex] is not defined at [tex]\theta = \pi/2[/tex].
Step 3 - In the given equation [tex]\rm tan\theta[/tex] is not defined at [tex]\theta = \pi/2[/tex].
Step 4 - From the above steps, it can be concluded that the given equation is not defined in the interval [tex]\left[\dfrac{\pi}{3},\pi\right][/tex]. Therefore, FTC2 is not applied.
For more information, refer to the link given below:
https://brainly.com/question/13710437