GATE XE (Engineering Sciences) 2016 - Question 21

Section: Engineering Mathematics | Type: NAT | Marks: 2

Calculate 1 2 C C F dr F dr ⋅ − ⋅ ∫ ∫ ρ ρ ρ ρ, where 𝐶𝐶1:𝑟𝑟⃗(𝑡𝑡) = (𝑡𝑡, 𝑡𝑡2) and 𝐶𝐶2:𝑟𝑟⃗(𝑡𝑡) = ൫𝑡𝑡, √𝑡𝑡൯, 𝑡𝑡 varying from 0 to 1 and ˆ F = xy j ρ .

Answer: 0.149 to 0.151