Question: The area bounded by the curve $y = x$ x-axis and ordinates $x = - 1$ to $x = 2$ is...

Question

The area bounded by the curve $y = x$ x-axis and ordinates $x = - 1$ to $x = 2$ is

Answer 1

Bounded area = $\left| \int _ { - 1 } ^ { 0 } x d x \right| + \left| \int _ { 0 } ^ { 2 } x d x \right|$

$= \left| - \frac { 1 } { 2 } \right| + | 2 |$ $= 2 + \frac { 1 } { 2 } = \frac { 5 } { 2 }$ .

Question: The area bounded by the curve \(y = x\) x-axis and ordinates \(x = - 1\) to \(x = 2\) is...