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By changing the order of integration, the integral  can be represented as   determine the value of A.
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
By changing the order of integration, the integralcan berepresented as...
Here the limits of y are given by the circle and the straight line y = x +2a. The limits of x are given by the straight lines x = 0 and x = a
Therefore, the integral extends to all points in the space bounded by the axis of y, the circle AB, the straight line AL and the straight line LM. Draw BH and M perpendiculars to AL. Now when the order of integration is changed, we take strips paralles to axis of x instead of that is y, thus the integral breaks up into three parts: First corresponding to the area BAH, second to the rectangle BHKM and the third to the triangle MKL, hence
so
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Most Upvoted Answer
By changing the order of integration, the integralcan berepresented as...
Here the limits of y are given by the circle and the straight line y = x +2a. The limits of x are given by the straight lines x = 0 and x = a
Therefore, the integral extends to all points in the space bounded by the axis of y, the circle AB, the straight line AL and the straight line LM. Draw BH and M perpendiculars to AL. Now when the order of integration is changed, we take strips paralles to axis of x instead of that is y, thus the integral breaks up into three parts: First corresponding to the area BAH, second to the rectangle BHKM and the third to the triangle MKL, hence
so
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By changing the order of integration, the integralcan berepresented as determine the value of A.a)b)c)d)Correct answer is option 'B'. Can you explain this answer?
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