1.0 Area Under a Curve

1.1 Area between curve and $y$-axis

Let $f(x)$ be a continuous function defined in $(a,b)$.

Then the area bounded by the curve $y=f(x)$, the $x$-axis and the lines $x=a$ and $x=b$ is given by the formula$$A = \int\limits_a^b {f(x)dx} $$