Calculus › Section P · Vector analysis › Topic P.6
Surface integrals
The line integral's big sibling: one type weighs a curved shell, the other counts a field's flow through a surface. The package r_u × r_v du dv is the whole trick — normal direction and tilted area in one bundle.
In this topic
- Weighing a curved shell
- Two types, one warning
- Flux by parametrisation
- The graph shortcut
- Worked example: a cone's shell
- Worked example: flux out of a sphere
- The volume behind the flux
- Common mistakes to avoid
- Key takeaways
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Standards: Beyond AP