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\int_{\pi /3}^{25\pi /3}\sin x dx

  • Option 1)

    \sqrt3/2

  • Option 2)

    1/2

  • Option 3)

    0

  • Option 4)

    2

 

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

 

 \int_{\frac{\pi}{3}}^{\frac{2\pi}{3}}\sin x\: dx= \int_{\frac{\pi }{3}}^{\frac{\pi }{3}+8\pi}\sin x\: dx= 4x\int_{0}^{2\pi}\sin x \: \: dx

4x\left (-\cos x \right )^{2\pi}_0= 0

 


Option 1)

\sqrt3/2

Option 2)

1/2

Option 3)

0

Option 4)

2

Posted by

gaurav

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