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so we are going to talk about how to use a scalar field line integral to calculate the mass of a curved wire to do that were gonna start with a simpler example calculate the mass of a straight wire from x equals zero to x equals PI over two with density Rho of x equals the tangent of 1/2 X and were going to use this simpler example to build up to the instance with a curved wire when were looking at the mass of a straight wire the graph of that is going to be pretty easy we have the point x equals 0 and then we have the point x equals PI over 2 and this is just a straight line connecting the two points we know that if we have a particular density function the mass is going to be the integral over that entire wire of the density so we have the integral from x equals 0 to x equals PI over 2 of Rho of X DX and in this case that density function is the tangent of 1/2 X and this is an ordinary single integral since were looking at scalar field line integrals here Im not going to go thr