The graph of g consists of two straight lines and a semicircle. Use it to eveluate the integral.12210203861.jpgint_0^10 g(x)dx

The integral ${\displaystyle {\int }_0^{10}g\left(x\right)dx}$ is the area between the graph of g and the horizontal x-axis on the interval ${\displaystyle 0\le x\le 10}$.
We note that this are forms a triangle with base b = 10 and height h = 20.
The area of a triangle is the product of the base b and the height h, divided by 2.
${\displaystyle {\int }_0^{10}g\left(x\right)dx=\frac{b\cdot h}{2}}$
${\displaystyle =\frac{10\cdot 20}{2}}$
${\displaystyle =\frac{200}{2}}$
=100