# 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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