Q1: Which is not a property of the map $f \mapsto \int_a^b f(x) dx$?

A1: linear

A2: monotonic

A3: additive

A4: injective

A5: homogeneous

Q2: What is the value of $\int_0^1 x , dx$

A1: $0$

A2: $\frac{1}{2}$

A3: $1$

A4: $2$

Q3: What is the value of $\int_1^0 x , dx$

A1: $0$

A2: $\frac{1}{2}$

A3: $-\frac{1}{2}$

A4: $-\frac{1}{4}$

A5: $\frac{1}{4}$

Q4: Is the function $f: [0,5] \rightarrow \mathbb{R}$ given by $f(x) = x^3 + 2 x^2 + x$ Riemann-integrable?

A1: Yes!

A2: No!