Function $$g$$ is graphed. Find $$\int_{-4}^{-1} g(x) d x$$ ![](http://admin.getprephub.com/media/editor/i45_20221019202917499851.png)

Here, ![](http://admin.getprephub.com/media/editor/is45_20221019202952036794.png) $$\int_{-4}^{-1} g(x) d x=\text { Area of } g(x) \text { between x=-4 to x=-1 } $$ $$ =\text { area of trapezium }+\text { Area of } x \text { rectangle } $$ $$=\{\frac{1}{2} \times[(g(-4)+g(-2)] \times 2+(1 \times 4)\}$$ $$=-[6+4]$$ $$=-10$$ [Since the curve is below x-axis,hence negative]

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Function $g$ is graphed. Find $\int_{-4}^{-1} g(x) d x$

Select all that apply :

$-10$

$-6$

$4$

$10$

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