understand the concept of the signed area function F(x)=∫ {from a to x} f(t)dt
understand and use the theorem F(x)=d/dx ( ∫ {from a to x} f(t)dt)=f(x), and illustrate its proof geometrically
understand the formula ∫ {from a to b} f(x)dx= F(b)−F(a) and use it to calculate definite integrals