interpret the definite integral ∫ {from a to b} f(x)dx as area under the curve y=f(x) if f(x)>0
interpret ∫ {from a to b} f(x)dx as a sum of signed areas
apply the additivity and linearity of definite integrals
develop the formula ∫ {from a to b} f(x)dx= F(b)−F(a) and use it to calculate definite integrals
