Answered: Let f(x,y,z)=x^(2)y+y^(2)z. Find the…

Let f(x,y,z)=x^(2)y+y^(2)z. Find the exact value using the Fundamental Theorem of Line Integrals, where C is the curve r(t) = , 0<=t<=1.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Let f(x,y,z)=x^(2)y+y^(2)z. Find the exact value using the Fundamental Theorem of Line Integrals, where C is the curve r(t) = <sin((pi/2)(t)), 3t+log(2-t),e^(cos(pi*t)>, 0<=t<=1.

With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.

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