Proving fundamental theorem of calc (1 Viewer)

[hiiitsme]

what does this dot point want? Could we be asked this?

 

[icycledough]

https://educationstandards.nsw.edu.au/wps/portal/nesa/11-12/stage-6-learning-areas/stage-6-mathematics/mathematics-advanced-2017/content/2606

The link above explains in depth about what it entails. But essentially, it is a theorem which shows how the integration of a function and the differentiation of a function are inverses of each other.

 

[hiiitsme]

Ok but for this:

- understand and use the Fundamental Theorem of Calculus, F′(x)=ddx[∫xaf(t)dt]=f(x)F′(x)=ddx[∫axf(t)dt]=f(x) and illustrate its proof geometrical

will we get a question saying to illustrate proof?