Integration (Edexcel A-Level Mathematics): Quizzes

A specific numerical value

Net area under $y=f(x)$ from $x=a$ to $x=b$

Net area (below $x$-axis subtracts)

Integrate the absolute value of $f(x)$

$\int_a^b f(x) \, dx = F(b) - F(a)$

$\int_a^b f(x) \, dx = -\int_b^a f(x) \, dx$

$0$

$\int_a^b f(x) dx + \int_b^c f(x) dx = \int_a^c f(x) dx$

They always cancel out

$1$