GATE XE (Engineering Sciences) 2025 - Question 15

All GATE XE (Engineering Sciences) papers | GATE XE (Engineering Sciences) 2025

Section: Engineering Mathematics | Marks: 1

Let 𝐶 be the positively oriented boundary of the domain bounded by the curves 𝑦= 2𝑥2 and 𝑦2 = 4𝑥. Then the value of the line integral ∮(2𝑦2 + 2𝑥𝑦+ 4𝑦)𝑑𝑥+ (𝑥2 + 4𝑥𝑦+ 8𝑥)𝑑𝑦 𝐶 is equal to

  • A. 8 3
  • B. 2 3
  • C. 4 3
  • D. 1 3

Answer: A. 8 3

| | All questions of GATE XE (Engineering Sciences) 2025