it sometimes happens that surface integral can be evaluated without using the lo

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it sometimes happens that surface integral can be evaluated without using the long-winded procedure .try evaluating aflux of the vector function F(x,y,z) for each of the follwing:think abit and avoid a lot of work: a)F=(ix+jy)ln(x^2+y^2)over the surface S as the cylinder (including the top and the bottom of radius R and hight h? b)F=(ix +jy +kz)exp[-(x^2 +y^2 +z^2)]over the surface S of the sphere of radius R centered at the origin? c)F =i E(x),where E(x)is an arbitrary scalar function of x and S is the surface of the cube?

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