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\int_{\pi /2}^{9\pi /2}\tan x dx

  • Option 1)

    4\pi

  • Option 2)

    2\pi

  • Option 3)

    8\pi

  • Option 4)

    0

 

Answers (1)

best_answer

As we learnt 

 

Properties of Definite Integration -

 

\int_{a}^{a+x\, T}f\left ( x \right )dx= x\int_{0}^{T}f\left ( x \right )dx

 

(Formula)

- wherein

If  f\left ( x \right ) is periodic with period T and x\in N

 

 = 4\int_{0}^{\pi}\tan x\: \: dx= 4\left [ \ln \left ( \sec x \right ) \right ]^{\pi}_{0}= 0

 


Option 1)

4\pi

Option 2)

2\pi

Option 3)

8\pi

Option 4)

0

Posted by

Aadil

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