Value of  is-

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Official Sr. Teacher Gr II NON-TSP MATHEMATICS (Held on :29 Oct 2018)
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  1. -2
  2. 2
  3. 0
  4. 4

Answer (Detailed Solution Below)

Option 1 : -2
Free
Sr. Teacher Gr II NON-TSP GK Previous Year Official questions Quiz 4
5 Qs. 10 Marks 5 Mins

Detailed Solution

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Hint:

To Find , the limits of outermost integration is constant. so first integrate w.r.to x

When integrating with respect to x, we must think of y as a constant.

We know that:

 and

Calculation:

Consider, I = 

To Find:


The limits of outermost integration are constant so first  integrate w.r.t x 

When integrating with respect to x, we must think of y as a constant.

We know that:

 and 

= 2 [cos y]0π/2

= 2 [cos 90° - cos 0°]

= -2

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