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 \((b,a).\)

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