Use Stokes' Theorem to evaluate ∫ ∫S curlF.ds, where F(x, y,

Last updated: 8/13/2022

Use Stokes' Theorem to evaluate ∫ ∫S curlF.ds, where F(x, y, z) = (tan-¹(x²yz²), x²y, x² z²) and S is the cone x = √y² + z²,0 ≤ x ≤ 2, oriented in the direction of the positive x-axis. Hint: The boundary of the cone is the circle y² + z² = 4 in x = 2.