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QUT Computer Science

Computer Science

Let f:[a,b]Rf:[a,b] \to \R be Riemann integrable. Let F:[a,b]RF:[a,b]\to\R be F(x)=axf(t)dtF(x)= \int_{a}^{x}f(t)dt. Then FF is continuous, and at all xx such that ff is continuous at xx, FF is differentiable at xx with F(x)=f(x)F'(x)=f(x).

I=02πsin(x)dxI = \int_0^{2\pi} \sin(x) dx

latex.js

https://latex.js.org/playground.html

plantuml

  1. https://plantuml.com/zh/activity-diagram-beta
  2. https://www.plantuml.com/plantuml/uml/SyfFKj2rKt3CoKnELR1Io4ZDoSa70000
  3. https://snowdreams1006.github.io/write/mermaid-flow-chart.html