GATE XE (Engineering Sciences) 2022 - Question 14

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Section: Engineering Mathematics | Type: NAT | Marks: 1

Let G be the positively oriented circle 𝑥ଶ൅𝑦ଶൌ9 in the 𝑥𝑦-plane. If ර൫3𝑦൅𝑒௫ୱ୧୬௫൯ 𝑑𝑥൅ ൫7𝑥൅ √𝑒௬൅2 ൯ 𝑑𝑦 ൌ𝛼 𝜋 G , where 𝛼 is a real constant, then 𝛼 is equal to ________.

Answer: 36

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