# Surface Integrals – On a line – Exercise 3530

Exercise

Calculate the integral

$$\int_c xdx+y^2dy-z^3dz$$

Where c is a straight line connecting the points: (1,1,1), (4-, 3,2).

$$\int_c xdx+y^2dy-z^3dz=-53\frac{7}{12}$$