Line integral anyone?
Calculus
Level
2
A line integral is a definite integral where you integrate some function \(f(x,y,z)\) along some path.
For which of the following would it be appropriate to use a line integral?
A. The total work done on a charge moving in a circle of radius \(R\) on the \(xy\)-plane centered at the \(z\)-axis by a charge at the coordinate \((R,R,R)\).
B. The area under the curve \(y=x^2\) between \(x=2\) and \(x=5\).
C. The total radiation absorbed by a person walking at a uniform rate around an ellipse with minor axis of length \(a\) and major axis of length \(b\), with a radiation source at the coordinate \((b,a).\)
by
Geoff Pilling