Line Integrals With Respect to dx, dy, and dz

Line integrals with respect to dx, dy and dz (as opposed to arc length 'ds') are a nice half way house between scalar line integrals and vector line integrals and as such are well worth getting to grips with. In this video we tackle a typical line integral with respect to dx, dy and dz of a function of x, y, and z and we answer it in two ways - firstly (recommended) by parameterising with respect to 't' and solving the resultant integral in terms of 't' and secondly (not recommended but interesting) by putting x, y and z in terms of each other and then integrating the 'x', 'y' and 'z' integrals separately.
Note: For two more methods of evaluating this particular line integral, check out our video 'Fundamental Theorem of Calculus for Line Integrals of Conservative Vector Fields F(x,y,z)' at • Fundamental Theorem of...
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[@grestyacademy]

For more videos on line integrals check out our playlist 'Line Integrals' at th-cam.com/play/PLlX3COjsHPVDZdAxbuOEmlZC5k_NYhSuV.html

[@aliciaaquino8846]

nde ko alam to ah..

[@grestyacademy]

Thanks for the support!👍