AI Tutor
Back to Using Parameterizations to Calculate Line Integrals

Exercise 16

Avg difficulty 2.5

  1. Compute ∫C1F⃗⋅dr⃗\int_{C_1} \vF\cdot d\vr when F⃗=⟨x2,xy⟩\vF=\langle x^2,xy\rangle and C1C_1 is the line segment from (0,0)(0,0) to (2,2)(2,2).

  2. Compute ∫C2F⃗⋅dr⃗\int_{C_2} \vF\cdot d\vr when F⃗=⟨x2,xy⟩\vF=\langle x^2,xy\rangle and C2C_2 is the line segment from (2,2)(2,2) to (0,0)(0,0).

Long, Keller & Schlicker, Active Calculus Multivariable, §13.4 Using Parameterizations to Calculate Line Integrals, Exercise 16

AI Tutor

Adapted from Active Calculus Multivariable © 2013–2026 Nicholas Long, Mitchel T. Keller, and Steven Schlicker. Licensed under CC BY-SA 4.0. Source: Active Calculus Multivariable. Imported at revision 692c03c.