The integral \frac{1}{2\pi }\int \:\:\:\int ↙\stackrel{\:}{D\:} (x + y + 10) dxdy, where D denotes the disc 𝑥 2 + 𝑦 2 ≤ 4, evaluates to__________.

GATE Electronics and Communications (EC) 2016 Shift 1 Solved Paper

Question : 36 of 65

Marks: +1, -0

The integral

\;{1}/{2π\;}∫ \:\:\:∫ ↙{D\:}↖{\:} (x + y + 10) dxdy

, where D denotes the disc 𝑥² + 𝑦² ≤ 4, evaluates to__________.

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