The values of the integrals \int ↙\stackrel{1}{0}⁡ (\int ↙\stackrel{1}{0}⁡\frac{x−y}{ ( (x + y) ^{3}) }dy) dx and \int ↙\stackrel{1}{0}⁡ (\int ↙\stackrel{1}{0}⁡\frac{x−y}{ (x + y) ^{3}}dx) dy are

Correct Answer is : 0.5 and -0.5, respectively

GATE Electronics and Communications (EC) 2017 Shift 2 Solved Paper

Question : 36 of 65

Marks: +1, -0

The values of the integrals

∫ ↙{0}↖{1}⁡ (∫ ↙{0}↖{1}⁡\;{x−y}/{\;(\;(x\;+\;y)\;^{3}) }dy) dx

and

∫ ↙{0}↖{1}⁡ (∫ ↙{0}↖{1}⁡\;{x−y}/{\;(x\;+\;y)\;^{3}}dx) dy

are

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