Easy Practice — Set 2

Quick Recap — Definite Integrals

• Fundamental theorem: $\displaystyle\int_a^b f(x)\,dx=F(b)-F(a)$ where $F'=f$.
• $\displaystyle\int_a^a f=0$ and $\displaystyle\int_a^b f=-\int_b^a f$.
• Symmetry: $\displaystyle\int_{-a}^{a}(\text{odd})=0$ and $\displaystyle\int_{-a}^{a}(\text{even})=2\int_0^a$.
• Definite integral gives net signed area.