Surface Integral of a curved surface of a cylinder without top and bottom surface

Hi I am trying to check if my handwritten results are correct using matlab.

The problem was to calculate a surface integral of a cylinder's main area without top and bottom, which is lying exactly on the origin with the hight of 0<=z<=8 and the radius r=6, vectorfield is F= x: (z+1), y: (2x), z: (x^3-3(y^2)*z

I get an answer of 528

Now I want to learn how to compute it using matlab to check my result, can anyone help me? I am a matlab beginner, it would be great if someone can guide me through the code.

Thanks

[darova]

• vectorfield is F= x: (z+1), y: (2x), z: (x^3-3(y^2)*z

What does it mean?

Answer 1

[Kavya Vuriti]

Hi,

You can solve double integrals using integral2 function. Here is the documentation link for integral2 function.

Hope this helps you in getting started.