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  • I have a doubt, kindly clarify. - Integral Calculus - JEE Main-3

\int_{\alpha }^{\alpha +3\Pi }\left | \sin x \right |dx is equal to

  • Option 1)

    6

  • Option 2)

    3

  • Option 3)

    0

  • Option 4)

    none

 

Answers (1)

best_answer

As we learnt

Properties of Definite Integration -

If f(x) is a periodic function with period T then \int_{a}^{a+T}f(x)dxis independent of a.

-

 

 \therefore \int_{\alpha }^{\alpha +3\pi }\left | \sin x \right |dx=3\int_{0}^{\pi}\sin xdx=6


Option 1)

6

Option 2)

3

Option 3)

0

Option 4)

none

Posted by

Aadil

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