This is part of the HSC Mathematics Advanced course under the topic of Integral Calculus: Areas and the definite integral
In this post, we use the notation of the definite integral \int_b^a f(x) dx for the area under the curve y = f(x) from x=a to x=b if f(x) \geq 0
Properties of Definite Integrals (1 of 4: Sign & symmetry)
Properties of Definite Integrals (2 of 4: Dissection & direction)
Properties of Definite Integrals (3 of 4: Addition)